1739

1739 = 37 x 47.

1739 has a base 5 representation (23424) that begins with its base 9 representation (2342).

1739 is a value of n for which n⁸, n⁹, n¹⁰, and 10¹¹ all have the same digit sum.

1739 is a number such that its square is the sum of three successive primes (A076304).

1739 is a number that becomes prime (139, 173, 179, 739) if any one digit is deleted (A034304).

The sum of the digits of 1739 exceeds the sum of the digits of its square (A064399).

Source: What's Special About This Number?

622

622 = 2 x 311.

622 and 623 are consecutive semiprimes (A070552).

622 is the number of primes less than 4600 (A028505).

622 is the sum of the first 27 composite numbers (A053767).

622 is the sum of no fewer than 17 fourth powers (A099591).

622 is a number whose digit sum is 10 (A052224).

622 has the representation 5⁴ - 3.

622 is a divisor of 95¹⁰ - 1.

Source: On-Line Encyclopedia of Integer Sequences

1570

1570 = 2 x 5 x 157.

1570 has two representations as a sum of two squares: 1570 = 7² + 39² = 27² + 29².

1570 is a divisor of 13¹² - 1.

1570 is the sum of all composite numbers between the 36th and 38th prime numbers (A174520).

1570 uses only the digits 0, 1, 2, 3, and 4 when expressed in every base from 2 to 9.

Source: On-Line Encyclopedia of Integer Sequences

2061

2061 = 3 x 3 x 229.

2061 is the number of pentagons that can be formed with perimeter 52 (partitions of 52 into five parts such that the sum of any four is more than the fifth) (A069906).

2061 has a representation as a sum of two squares: 2061 = 6² + 45².

The 2061st prime is a partition number (A051143).

2061 is the number of sets of distinct positive integers with mean 7 (A066571).

Source: Prime Curios!

428

428 = 2 x 2 x 107.

428 has the property that its square is the concatenation of two consecutive numbers (A030467): 428² = 183184.

428 is 654 in base 8. It is 525 in base 9 (A029955).

428 is the number of ways of writing 34 as a sum of 8 nonnegative cubes (A173681).

428 is a heptadecagonal (17-gonal) number (A051869).

Source: What's Special About This Number?

1440

1440 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5.

1440 is 112200 in base 4.

1440 has a representation as a sum of two squares: 1440 = 12² + 36².

There are exactly 1440 Henry VIII primes.

1440 is a number that can be expressed as the difference of the squares of primes in just one distinct way (A090781).

1440 is the number of essentially different ways of arranging numbers 1 through 14 around a circle so that the sum of each pair of adjacent numbers is prime (A051252).

1440 is the number of minutes in one day.

1440 is the sum of the internal angles of a 10-sided polygon.

A bolt of fabric is 1440 inches in length.

Source: Number Gossip

870

870 = 2 x 3 x 5 x 29.

870 is a pronic number (the product of two consecutive integers): 870 = 29 x 30.

870 is the sum its digits plus the cubes of its digits: 870 = 8 + 7 + 0 + 8³ + 7³ + 0³.

870 is 606 in base 12 and 303 in base 17.

870 is the sum of 10 consecutive primes: 870 = 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103 + 107.

870 is the magic constant (or sum) for a 12 x 12 normal magic square.

Source: Number Gossip

3032

3032 = 2 x 2 x 2 x 379.

3032 is the number of trees on 19 vertices with graph diameter 5.

3032 is the smallest positive number that can be written as sum of distinct Fibonacci numbers in 52 ways (A013583).

3032 is a number that is divisible by 8 and the difference between two cubes in at least one way (A038850).

3032 is a multiple of 8 with a digit sum of 8 (A069543).

The sum of the cubes of the digits of 3032 is equal to the sum of the digits of the cube of 3032 (A165551): 3032³ = 27,873,248,768; 2 + 7 + 8 + 7 + 3 + 2 + 4 + 8 + 7 + 6 + 8 = 62 and 3³ + 0³ + 3³ + 2³ = 62.

Source: What's Special About This Number?

836

836 = 2 x 2 x 11 x 19.

836 is a weird number (abundant but not pseudoperfect) (A006037).

836 is a 17-gonal (or heptadecagonal) number: (A051869).

836 is a divisor of 45³ - 1.

836 is the number of regions made by diagonals in a regular 38-gon that are heptagons (A067154).

836 (a non-palindrome) has a palindromic square (A002778): 836² = 698896.

621,770 + 77,126 = 836² = 698896 and 621,770 - 77,126 = 738² = 544,644.

836 is the numerical equivalent of TEN on a touch-tone telephone.

Source: Number Gossip

1200

1200 = 2 x 2 x 2 x 2 x 3 x 5 x 5.

1200 is 3333 in base 7. It is 363 in base 19.

1200 is the sum of a twin prime pair (A054735): 1200 = 599 + 601.

1200 is a concentric dodecagonal number (A195143).

1200 is the number of regions made by diagonals in a regular 48-gon that are heptagons (A067154).

1200 is a number that can be expressed as the difference of squares of primes in just three distinct ways (A090782).

1200 is a divisor of 49² - 1.

Source: What's Special About This Number?

2526

2526 = 2 x 3 x 421.

2522, 2523, 2524, 2525, 2526, and 2527 are six consecutive numbers that are all the product of exactly three primes.

2526 is 666 in base 20 (A121205).

2526 is the concatenation of two consecutive increasing numbers (A127421).

2526 is a number for which the product of its digits (120) is 8 times the sum of its digits (15) (A062040).

2526 is the sum of nine distinct pentatope numbers (A104399).

Source: What's Special About This Number?

3046

3046 = 2 x 1523.

3046 is the product of two primes whose difference is a perfect square (A143416): 1523 - 2 = 1521 =  39².

3046 is 11611 in base 7 (A043015 and A043400).

3046 is a centered heptagonal number (A069099).

3046 is a number n such that n² is palidromic in base 3 (122110101011221) (A029984).

3046 is the sum of the first 23 isolated (single or non-twin) primes (A153478).

Source: On-Line Encyclopedia of Integer Sequences

3604

3604 = 2 x 2 x 17 x 53.

3604 and its reversal (4063) are each multiples of 17 (A062906 and A062915).

3604 has two representations as a sum of two squares: 3604 = 2² + 60² = 30² + 52².

3604 is a divisor of 83⁸ - 1.

3604 is 11221111 in base 3. It is 103404 in base 4 and 24404 in base 5. It is 2104 in base 12 and 1104 in base 15.

3604 is the number of ways to cover (without overlapping) a ring lattice (necklace) of 36 sites with molecules that are 7 sites wide (A058366).

Source: On-Line Encyclopedia of Integer Sequences

5540

5540 = 2 x 2 x 5 x 277.

5540 has two representations as a sum of two squares: 5540 = 8² + 74² = 38² + 64².

5540 is the number of walks within N³ (the first octant of Z³) starting at (0, 0, 0) and consisting of 8 steps taken from {(-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 0)} (A148966).

309097² = 95540955409 (A116501).

Both 5540 and the 5540th prime (54443) have non-increasing digits (A116067).

The Lego 5540 kit is for a Formula 1 racer.

5540 Smirnova is an asteroid discovered in 1971.

Source: On-Line Encyclopedia of Integer Sequences

798

798 = 2 x 3 x 7 x 19.

798 has the representation 798 = 3⁶ + 69.

798 is a divisor of 11⁶ - 1.

798 is 666 in base 11. It is 383 in base 15.

798 is the number of ternary square-free words of length 16.

798 is the smallest even number with digit sum 24 (A069532). The sum of the digits is equal to eight times the number of digits (A061425).

798 is the smallest positive even integer that is an unordered sum of two primes in exactly 38 ways (A023036).

Source: What's Special About This Number?

854

854 = 2 x 7 x 61.

854 is the largest number that together with its square (729,316) uses different digits not more than once (A059930).

854 is the smallest number n such that it is the sum of two positive cubes (854 = 5³ + 9³) and n + 1 (855) is also the sum of two positive cubes (A003325 and A024670).

854 are the first three digits of the 27th Mersenne prime (A138864).

854 is 707 in base 11.

854 is the sum of six positive cubes in exactly three ways (A048931).

Source: Number Gossip

579

579 = 3 x 193.

579, 581, and 583 are three consecutive odd numbers that are all semiprimes (A092207).

579 is the sum of the squares of three consecutive primes (A133529): 579 = 11² + 13² + 17².

579 is a menage number (A000179).

579 is 2403 in base 6 and 403 in base 12. It is 21003 in base 4 and 1103 in base 8.

579 is the number of graphs with 7 vertices that have chromatic number 3.

579 is a structured great rhombicosidodecahedral number (A100145).

Source: What's Special About This Number?

696

696 = 2 x 2 x 2 x 3 x 29.

696 is a palindrome n so that n(n + 8) is also palindromic (489984).

696 has the representation 3⁶ - 33.

970,225 is the fourth square number that is the sum of the square of two consecutive numbers (696 and 697): 970,225 = 985² = 696² + 697². In other words, (696, 697, 985) is the fourth Pythagorean triple where two sides are consecutive integers.

696 is 3120 in base 6 and 2013 in base 7. It is 853 in base 9 and 583 in base 11.

696 is the sum of eight consecutive primes: 696 = 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103.

Source: What's Special About This Number?

8450

8450 = 2 x 5 x 5 x 13 x 13.

8450 is 20402 in base 8.

8450 has five representations as a sum of two squares: 8450 = 13² + 91² = 23² + 89² = 35² + 85² = 47² + 79² = 65² + 65².

8450 is a divisor of 99⁴ - 1.

8450² can be written as a sum of two squares in 12 ways. In other words, 8450 is the hypotenuse of exactly 12 distinct integer-sided right triangles.

8450 is the maximum number of regions into which the plane can be divided using 33 concave quadrilaterals (A077591).

8450 is the number of basic blocks of size 5 x 14 for tilings with square tiles of size up to 5 x 5 (A054858).

Source: On-Line Encyclopedia of Integer Sequences

893

893 = 19 x 47.

893 is a semiprime that is the product of two distinct non-Sophie Germain primes (A157345).

893 is a divisor of 46⁶ - 1.

893 has a square whose digits each occur twice (A052049): 893² = 797449.

893 is 1020002 in base 3 and 1202 in base 9 (A037314).

893 is the sum of 12 positive fifth powers (A003357).

893 is the sum of six positive cubes in exactly three ways (A048931).

Source: What's Special About This Number?