7894 is a number n for which n and 8n together use each digit from 1 to 9 exactly once (A115932).
7894 is the number of isocent sequences of length 15 with exactly nine ascents (A243235).
Source: What's Special About This Number?
Thursday, December 18, 2014
7894
7894 = 2 x 3947.
7894 is a number n for which n and 8n together use each digit from 1 to 9 exactly once (A115932).
7894 is the number of isocent sequences of length 15 with exactly nine ascents (A243235).
Source: What's Special About This Number?
7894 is a number n for which n and 8n together use each digit from 1 to 9 exactly once (A115932).
7894 is the number of isocent sequences of length 15 with exactly nine ascents (A243235).
Source: What's Special About This Number?
Wednesday, December 17, 2014
3740
3740 = 2 x 2 x 5 x 11 x 17.
3740 is the sum of consecutive squares in two ways (A062681).
3740 is 25152 in base 6 and 5115 in base 9.
3740 is the number of tatami tilings of a 3 x 10 grid (with monomers allowed) (A180970).
3740 divides 214 - 1.
Source: What's Special About This Number?
3740 is the sum of consecutive squares in two ways (A062681).
3740 is 25152 in base 6 and 5115 in base 9.
3740 is the number of tatami tilings of a 3 x 10 grid (with monomers allowed) (A180970).
3740 divides 214 - 1.
Source: What's Special About This Number?
Tuesday, December 16, 2014
1834
1834 = 2 x 7 x 131.
1834 is an octahedral number (A005900).
1834 is the sum of the cubes of the first five primes (A098999).
1834 is a number that has more different digits than its square (A061277).
1834 is 3452 in base 8.
1834 divides 9913 - 1.
Source: What's Special About This Number?
1834 is an octahedral number (A005900).
1834 is the sum of the cubes of the first five primes (A098999).
1834 is a number that has more different digits than its square (A061277).
1834 is 3452 in base 8.
1834 divides 9913 - 1.
Source: What's Special About This Number?
Monday, December 15, 2014
Friday, December 12, 2014
6723
6723 = 3 x 3 x 3 x 3 x 83.
6723 is a value of n for which 3n and 8n together use each digit from 0 to 9 exactly once.
6723 is 25413 in base 7.
6723 is the solution to the postage stamp problem with 3 denominations and 47 stamps (A001208).
6723 is the maximum number of points visible from some point in a cubic 20 x 20 x 20 lattice (A141227).
Source: What's Special About This Number?
6723 is a value of n for which 3n and 8n together use each digit from 0 to 9 exactly once.
6723 is 25413 in base 7.
6723 is the solution to the postage stamp problem with 3 denominations and 47 stamps (A001208).
6723 is the maximum number of points visible from some point in a cubic 20 x 20 x 20 lattice (A141227).
Source: What's Special About This Number?
Thursday, December 11, 2014
6675
Wednesday, December 10, 2014
4351
4351 = 19 x 229.
The sum of the digits of 4351 is equal to the sum of the digits of its largest prime factor (A219340).
4351 is a centered decagonal number (A062786).
4351 is the concatenation of the 14th prime number and the 14th lucky number (A032603).
4351 divides 946 - 1.
4351 is a number that cannot be written as a sum of three squares.
Source: OEIS
The sum of the digits of 4351 is equal to the sum of the digits of its largest prime factor (A219340).
4351 is a centered decagonal number (A062786).
4351 is the concatenation of the 14th prime number and the 14th lucky number (A032603).
4351 divides 946 - 1.
4351 is a number that cannot be written as a sum of three squares.
Source: OEIS
Tuesday, December 9, 2014
4347
4347 = 3 x 3 x 3 x 7 x 23.
4347 is a heptagonal number (A000566). It is also a pentagonal number (A049452).
4347 is the concatenation of the 27th and 28th primes (A045533).
4347 is a value of n for which 2n and 5n together use each of the digits 1 to 9 exactly once.
4347 is the number of regions in a regular 63-gon that are octagons (A067155).
4347 divides 2218 - 1.
Source: Number Gossip
4347 is a heptagonal number (A000566). It is also a pentagonal number (A049452).
4347 is the concatenation of the 27th and 28th primes (A045533).
4347 is a value of n for which 2n and 5n together use each of the digits 1 to 9 exactly once.
4347 is the number of regions in a regular 63-gon that are octagons (A067155).
4347 divides 2218 - 1.
Source: Number Gossip
Monday, December 8, 2014
Friday, December 5, 2014
4100
4100 = 2 x 2 x 5 x 5 x 41.
4100 is 5555 in base 9. It is 12121212 in base 3 (A037480 and A162216).
4100 is a multiple of 5 with a digit sum of 5 (A069540).
4100 has three representations as a sum of two squares (A025286): 4100 = 22 + 642 = 162 + 622 = 402 + 502.
4100 divides 3110 - 1.
Source: What's Special About This Number?
4100 is 5555 in base 9. It is 12121212 in base 3 (A037480 and A162216).
4100 is a multiple of 5 with a digit sum of 5 (A069540).
4100 has three representations as a sum of two squares (A025286): 4100 = 22 + 642 = 162 + 622 = 402 + 502.
4100 divides 3110 - 1.
Source: What's Special About This Number?
Thursday, December 4, 2014
8242
8242 = 2 x 13 x 317.
Concatenating 8242 with 1 less than 8242 produces a square (A054214 and A054215): 82428241 = 90792.
The base 4 representation of 8242 has 4 zeroes, 2 twos, and no ones (A045033 and A045059): 2000302.
8242 has two representations as a sum of two squares: 8242 = 412 + 812 = 592 + 692.
Source: What's Special About This Number?
Concatenating 8242 with 1 less than 8242 produces a square (A054214 and A054215): 82428241 = 90792.
The base 4 representation of 8242 has 4 zeroes, 2 twos, and no ones (A045033 and A045059): 2000302.
8242 has two representations as a sum of two squares: 8242 = 412 + 812 = 592 + 692.
Source: What's Special About This Number?
Wednesday, December 3, 2014
1821
1821 = 3 x 607.
1821 is a number that yields a prime whenever 1 is inserted anywhere in it, including at the beginning or end (A068679 and A216165).
1821 is a centered icosagonal number (A069133). It is also a concentric decagonal number (A195142).
1821 is the number of primes less than the cube of 25 (A038098).
1821 is 2111110 in base 3. It is 130131 in base 4 and 3435 in base 8. 1821 is 24241 in base 5.
Source: OEIS
1821 is a number that yields a prime whenever 1 is inserted anywhere in it, including at the beginning or end (A068679 and A216165).
1821 is a centered icosagonal number (A069133). It is also a concentric decagonal number (A195142).
1821 is the number of primes less than the cube of 25 (A038098).
1821 is 2111110 in base 3. It is 130131 in base 4 and 3435 in base 8. 1821 is 24241 in base 5.
Source: OEIS
Tuesday, December 2, 2014
3500
3500 = 2 x 2 x 5 x 5 x 5 x 7.
3500 is a number that is the sum of two positive cubes and divisible by 7 (A101421) and divisible by 5 (A224485).
3500 is the sum of three nonnegative cubes in more than one way (A001239).
3500 is the number of rooted trees with 24 nodes with every leaf at height 3 (A048808).
3500 is a number n such that n and the square of n have only the digits 0, 1, 2, 3, and 5 in common (A136811).
3500 divides 574 - 1.
Source: OEIS
3500 is a number that is the sum of two positive cubes and divisible by 7 (A101421) and divisible by 5 (A224485).
3500 is the sum of three nonnegative cubes in more than one way (A001239).
3500 is the number of rooted trees with 24 nodes with every leaf at height 3 (A048808).
3500 is a number n such that n and the square of n have only the digits 0, 1, 2, 3, and 5 in common (A136811).
3500 divides 574 - 1.
Source: OEIS
Monday, December 1, 2014
3048
3048 = 2 x 2 x 2 x 3 x 127.
3048 is a number that can be expressed as the difference of the squares of primes in just two distinct ways (A090788).
3048 is a number divisible by each of its digits, excluding 0 (A187398).
3048 is a number n such that n and the nth prime have only the digit 4 in common (A107935).
The 3048th prime divides the 3048th Fibonacci number (A075702).
3048 divides 196 - 1.
Source: OEIS
3048 is a number that can be expressed as the difference of the squares of primes in just two distinct ways (A090788).
3048 is a number divisible by each of its digits, excluding 0 (A187398).
3048 is a number n such that n and the nth prime have only the digit 4 in common (A107935).
The 3048th prime divides the 3048th Fibonacci number (A075702).
3048 divides 196 - 1.
Source: OEIS
Wednesday, November 26, 2014
2445
2445 = 3 x 5 x 163.
2445 is a truncated tetrahedral number (A005906).
2445 is a number n such that n! has a square number of digits (A006488).
2445 is the sum of nine nonzero 6th powers (A003365).
2445 is a lucky number that is divisible by the sum of its digits (A118564).
2445 divides 596 - 1.
Source: What's Special About This Number?
2445 is a truncated tetrahedral number (A005906).
2445 is a number n such that n! has a square number of digits (A006488).
2445 is the sum of nine nonzero 6th powers (A003365).
2445 is a lucky number that is divisible by the sum of its digits (A118564).
2445 divides 596 - 1.
Source: What's Special About This Number?
Tuesday, November 25, 2014
1795
1795 = 5 x 359.
1795, 1797, and 1799 are consecutive semiprimes (A133609).
1795 is the product of two distinct safe primes (A157352).
1795 has a base 5 representation (24140) that begins with its base 9 representation (2414).
1795 is the sum of 10 nonzero 8th powers (A003388).
1795 is a Smith semiprime (A098837).
Source: What's Special About This Number?
1795, 1797, and 1799 are consecutive semiprimes (A133609).
1795 is the product of two distinct safe primes (A157352).
1795 has a base 5 representation (24140) that begins with its base 9 representation (2414).
1795 is the sum of 10 nonzero 8th powers (A003388).
1795 is a Smith semiprime (A098837).
Source: What's Special About This Number?
Monday, November 24, 2014
1792
1792 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7.
1792 is a Friedman number (A036057).
1792 is the maximum number of pieces obtained by slicing a bagel (torus) with 21 cuts (A003600).
1792 is a composite number such that the square root of the sum of squares of its prime factors is an integer (A134605).
1792 is the number of simple graphs with 9 vertices and two cycles (A112410).
1792 divides 978 - 1.
Source: OEIS
1792 is a Friedman number (A036057).
1792 is the maximum number of pieces obtained by slicing a bagel (torus) with 21 cuts (A003600).
1792 is a composite number such that the square root of the sum of squares of its prime factors is an integer (A134605).
1792 is the number of simple graphs with 9 vertices and two cycles (A112410).
1792 divides 978 - 1.
Source: OEIS
Friday, November 21, 2014
5101
5101 is a prime number.
5099 and 5101 form a twin prime pair.
5101 is the initial prime in a set of four consecutive primes with common difference 6 (A033451).
5101 is a prime formed from merging four successive digits in the decimal expansion of e (A104845).
5101 is a prime whose sum of digits is 7 (A062337).
5101 is a centered 17-gonal number (A069130).
5101 has a representation as a sum of two squares: 5101 = 502 + 512. 5101 is a prime that is the sum of at least two consecutive squares (A163251).
5101 is the hypotenuse of a primitive Pythagorean triple: 51012 = 1012 + 51002.
5101 divides 4620 - 1.
Source: OEIS
5099 and 5101 form a twin prime pair.
5101 is the initial prime in a set of four consecutive primes with common difference 6 (A033451).
5101 is a prime formed from merging four successive digits in the decimal expansion of e (A104845).
5101 is a prime whose sum of digits is 7 (A062337).
5101 is a centered 17-gonal number (A069130).
5101 has a representation as a sum of two squares: 5101 = 502 + 512. 5101 is a prime that is the sum of at least two consecutive squares (A163251).
5101 is the hypotenuse of a primitive Pythagorean triple: 51012 = 1012 + 51002.
5101 divides 4620 - 1.
Source: OEIS
Thursday, November 20, 2014
3001
3001 is a prime number.
2999 and 3001 form a twin prime pair.
3001 is a prime whose digit sum is 4 (A062339). It is the largest 4-digit prime with minimum digit sum (A069664).
3001 is a centered decagonal number (A062786).
3001 is a prime that can be expressed as the sum of distinct powers of 3 (A077717).
3001 is 1/24 of the 24th Fibonacci number.
3001 has a representation as a sum of two squares: 3001 = 202 + 512.
3001 is the hypotenuse of a primitive Pythagorean triple: 30012 = 20402 + 22012.
3001 divides 2015 - 1.
Arthur C. Clarke wrote a book titled 3001: The Final Odyssey.
Source: Prime Curios!
2999 and 3001 form a twin prime pair.
3001 is a prime whose digit sum is 4 (A062339). It is the largest 4-digit prime with minimum digit sum (A069664).
3001 is a centered decagonal number (A062786).
3001 is a prime that can be expressed as the sum of distinct powers of 3 (A077717).
3001 is 1/24 of the 24th Fibonacci number.
3001 has a representation as a sum of two squares: 3001 = 202 + 512.
3001 is the hypotenuse of a primitive Pythagorean triple: 30012 = 20402 + 22012.
3001 divides 2015 - 1.
Arthur C. Clarke wrote a book titled 3001: The Final Odyssey.
Source: Prime Curios!
Wednesday, November 19, 2014
1785
1785 = 3 x 5 x 7 x 17.
1785 is a multiple of 7 such that its digit sum is divisible by 7 (A216994).
1785 is a square pyramidal number (A000330). It is also a pentadecagonal number (A051867).
1785 is palindromic in base 5: 123321.
1785 is the sum of five positive fifth powers (A003350).
1785 divides 134 - 1.
Source: OEIS
1785 is a multiple of 7 such that its digit sum is divisible by 7 (A216994).
1785 is a square pyramidal number (A000330). It is also a pentadecagonal number (A051867).
1785 is palindromic in base 5: 123321.
1785 is the sum of five positive fifth powers (A003350).
1785 divides 134 - 1.
Source: OEIS
Subscribe to:
Posts (Atom)