5236

5236 = 2 x 2 x 7 x 11 x 17.

5236 divides 67⁶ - 1.

5236 is a multiple of 17 such that its reversal - 1 is also a multiple of 17 (A166398).

5236 is a number n such that n and n + 2 are both divisible by exactly five primes (counted with multiplicity) (A180151).

5236 is the number of disconnected 2-regular graphs on 47 vertices (A165652).

Source: OEIS

1776

1776 = 2 x 2 x 2 x 2 x 3 x 37.

1776 is a number that can be expressed as the product of numbers made of only fours (A161142): 1776 =  4 x 444.

1776 is 5115 in base 7.

1776 is a rhombic matchstick number (A045944).

1776 is a number with 20 divisors (A030638).

1776 is the difference of two positive fourth powers (A147857).

1776 divides 73² - 1.

Source: OEIS

5861

5861 is a prime number.

5861 is 1123211 in base 4 (A029972). It is 141421 in base 5.

5861 is the mean of five successive primes (A219478).

5861 is a number such that the product of its digits is 12 times their sum (A062045).

5861 is the first prime in a sequence produced from a prime-generating cubic polynomial of the form 82n³ - 1288n² + 6130n - 5861 (A076808).

5861 has a representation as a sum of two squares: 5861 = 31² + 70².

5861 is the hypotenuse of a primitive Pythagorean triple: 5861² = 3939² + 4340².

Source: Prime Curios!

1736

1736 = 2 x 2 x 2 x 7 x 31.

1736 is the number of ways to place two non-attacking bishops on an 8 x 8 chessboard (A172123).

1736 is the number of ways of writing 65 as the sum of eight nonnegative cubes (A173681).

1736 is a number that is the sum of two positive cubes and divisible by 7 (A101421).

1736 is 12012 in base 6.

1736 divides 25³ - 1.

Source: What's Special About This Number?

3798

3798 = 2 x 3 x 3 x 211.

3798 is a value of n for which 2n and 9n together use each of the digits 1 to 9 exactly once.

3798 is the number of ways of writing 64 as a sum of nine nonnegative cubes (A173682).

3798 divides 55⁵ - 1.

Source: What's Special About This Number?

1599

1599 = 3 x 13 x 41.

1599 is 22344 in base 5 and 11223 in base 6. It is 4443 in base 7 (A032831).

1599 is a number n such that the square of n is the sum of two or more consecutive squares (A097812).

1599 is the sum of three consecutive pentagonal numbers (A129863).

1599 is a happy-go-lucky number; it is both happy and lucky (A091431).

Source: OEIS

1559

1559 is a prime number. It is a Sophie Germain prime because 2 x 1559 + 1 = 3119 is also prime (A005384).

Reversing the digits of 1559 produces the prime 9551. 1559 is the smallest such prime that becomes a semiprime when any single digit is removed.

1559 is the smallest prime p with 16 consecutive quadratic residues mod p.

1559 is the number of different ways to divide an 11 x 11 square into sub-squares, considering only the list of parts (A034295).

1559 is 2010202 in base 3. It is 2122 in base 9.

Source: Prime Curios!

7296

7296 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 19.

7296 is a multiple of 24 whose digits also sum to 24 (A066270). The sum of the digits of 7296 equals the sum of the unique prime divisors of 7296 (A070275).

7296 is 5533 in base 11 and 2266 in base 15 (A033013).

7296 is the number of rooted polyhedral graphs with 15 edges (A000287).

7296 divides 65⁶ - 1.

Source: OEIS

4500

4500 = 2 x 2 x 3 x 3 x 5 x 5 x 5. It has exactly three distinct prime factors, none of which is greater than 5 (A143207).

4500 is the smallest base in which KJIHGFEDCBA987654321 is a prime. All shorter such strings achieve prime status in mch smaller bases (192 is the maximum required). Not until the string (110)(109)(108) . . . 321 is a higher base required.

4500 is the number of regions formed when all diagonals are drawn in a regular 20-gon (A007678).

4500 is a concentric icosagonal number (A195148).

4500 can be represented in bases 2, 3, 4, and 5 using only the digits 0, 1, and 2. It is 3421 in base 11.

4500 has two representations as a sum of two squares: 4500 = 12² + 66² = 30² + 60².

Source: Prime Curios!

3701

3701 is a prime number.

3701 is a prime that is the sum of seven consecutive primes (A082246).

3701 is the smallest prime with exactly 22 representations as a sum of three distinct positive squares (A242675).

3701 has a representation as a sum of two squares (A108655): 3701 = 26² + 55².

3701 is the hypotenuse of a primitive Pythagorean triple: 3701² = 2349² + 2860².

Source: OEIS

8111

8111 is a prime number. It is a Sophie Germain prime because 2 x 8111 = 16223 is also prime. Every digit of 8111 is a perfect cube (A061247 and A066592).

8111 is a prime that results from merging four successive digits in the decimal expansion of pi (A104824).

8111 is the concatenation of the first two digits and the last two digits of the 35th Mersenne prime (A138863).

8111 is 102010102 in base 3. It is 12112 in base 9 (A032930).

Source: OEIS

2004

2004 = 2 x 2 x 3 x 167.

2004 has a square with the last three digits the same as the three digits before them: 2004² = 4016016.

2²⁰⁰⁴ + 823 is a prime. It is the smallest prime of the form 2²⁰⁰⁴ + k. The reversal of 2²⁰⁰⁴ is a prime (A057708).

(2004 x 4002) - 1 is a prime.

2004 was a year in which there were five Sundays in the month of February (A119406).

Source: Prime Curios!

5325

5325 = 3 x 5 x 5 x 71.

5325 is a lucky number of only prime digits (A118718).

5325 and its reversal (5235) are both multiples of 15 (A062905).

The product of the digits of 5325 is 10 times the sum of the digits (A062043).

5325 is 21345 in base 7. It is 4001 in base 11.

5325 is the sum of the remainders when the 40th prime is divided by all preceding integers (A050482).

5325 divides 76⁵ - 1.

Source: OEIS

7289

7289 = 37 x 197.

7289 and each of its two divisors include the digit 7 (A062676).

7289 is 2929 in base 14.

7289 has two representations as a sum of two squares: 7289 = 8² + 85² = 20² + 83².

7289 is the hypotenuse of two primitive Pythagorean triples: 7289² = 1360² + 7161² = 3320² + 6489².

7289 divides 14¹² - 1.

Source: OEIS

7368

7368 = 2 x 2 x 2 x 3 x 307.

7368 is a multiple of 24 whose digits also sum to 24 (A066270).

7368 is 5599 in base 11.

7368 minus the sum of its unique prime factors is a square (A216894): 7368 - (2 + 3 + 307) = 7056 = 84².

7368 divides 17⁶ - 1.

7368 is the number of partitions of 52 such that the sum of the square of the parts is a square (A240127).

Source: OEIS

1847

1847 is a prime number.

1847 is the number of 2 x 2 x 2 Rubik's cube positions that require exactly four moves to solve.

1847 is 24342 (palindromic) in base 5. It is 737 in base 16 (A029732).

1847 is the sum of the first 50 nonprimes (A051349).

1847 is the lower prime of a difference of 14 between consecutive primes (A031932).

The first adhesive U.S. postage stamp went on sale in the year 1847. Thomas Edison was born in the year 1847 and died in the prime year 1931.

Source: Prime Curios!

2579

2579 is a prime number. It is a safe prime (A005385).

2579 is the smallest prime number that can be expressed as the sum of 13 consecutive Fibonacci numbers (the fourth to the sixteenth). It is also a prime that is the difference of two Fibonacci numbers (A113188).

2579 is the smallest prime that is equal to the sum of 35 consecutive primes (A070934).

2579 is 40304 in base 5 (A029973).

Source: Prime Curios!

7777

7777 = 7 x 11 x 101. It is a palindrome with exactly three distinct palindromic prime factors (A046409).

7777 has the representation 6⁵ + 1 (A062394). It is 100001 (palindromic) in base 6 (A029963 and A033043).

7777 divides 36⁵ - 1.

7777 is a number that is the sum of two positive fifth powers (A003347 and A004842).

7777 is a Kaprekar number (A006886).

Source: OEIS

1809

1809 = 3 x 3 x 3 x 67.

1809 is the sum of the first 26 palindromes (A046489).

1809 is the sum of the first 17 primes whose indices are primes (A083186).

1809 is a non-palindromic balanced number; the first and last half of its digits have the same sum (A145808).

1809 is a multiple of 9 that contains 9 in its decimal representation (A121029).

1809 is 3421 in base 8. It is 809 in base 15.

1809 divides 37³ - 1.

Source: OEIS

4391

4391 is a prime number. It is a Sophie Germain prime because 2 x 4391 + 1 = 8783 is also a prime.

4391 is the smaller of two consecutive Sophie Germain primes with the same digital sum (A118506).

4391 is the sum of the first 47 primes minus 47 (A101301).

4391 is a number that cannot be written as a sum of three squares.

4391 is 3332 in base 11 (A032811).

Source: OEIS