902

902 = 2 x 11 x41. It is the smallest number beginning with 9 that is the product of exactly three primes (A106419).

902 is a value of n such that n(n + 7) is palindromic: 902(909) = 819918.

902 is 1020102 in base 3, 12102 in base 5, and 4102 in base 6. It is 1212 in base 9 and 321 in base 17. It is 545 in base 13 and 252 in base 20.

902, 903, and 904 have the same number of divisors (A005238).

902 is a multiple of 11 such that sum of its digits is also a multiple of 11 (A216995).

Source: What's Special About This Number?

1483

1483 is a prime number.

1481 and 1483 form a twin prime pair.

1483 is the smallest prime that is the sum of three prime cubes: 1483 = 3³ + 5³ + 11³.

1483 has the representation 2 x 3⁶ + 25.

1483 is a divisor of 38³ - 1.

The Petronas Towers in Kuala Lumpur, Malaysia, are 1483 feet tall.

Source: Prime Curios!

4656

4656 = 2 x 2 x 2 x 2 x 3 x 97.

4656 is the 96th triangular number, with digit sum 21 (A068131).

4656 is 1020300 in base 4 and 1230 in base 16.

4656 is a structured pentagonal hexacontahedral number (A100169).

4656 is the number of 3 x 3 arrays of squares on integers summing to 18 (A159401).

Source: Numeropedia

442

442 = 2 x 13 x 17.

442 has two representations as a sum of two squares: 442 = 1² + 21² = 9² + 19².

442 is the smallest composite number n that divides F(n - 1) where F(k) are the Fibonacci numbers.

442 is the number of planar partitions of 13.

442 is the sum of eight consecutive primes: 442 = 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71.

442 is 3232 in base 5 and 101 in base 21.

Source: Number Gossip

693

693 = 3 x 3 x 7 x 11.

693 is 1010110101 in base 2 (binary). It is 3113 in base 6, 414 in base 13, and 313 in base 15.

693 has the representation 693 = 3⁶ - 36.

A primitive Pythagorean triangles of sides (693, 1924, 2045) has area 666,666.

693 is the number of sections in Ludwig Wittgenstein's Philosophical Investigations.

Source: Numeropedia

884

884 = 2 x 2 x 13 x 17.

884 has two representations as a sum of two squares: 884 = 10² + 28² = 20² + 22².

The fifth root of 884 has a decimal part that begins with the digits 884.

884 is 202 in base 21.

The sum of the divisors of 884 is a square (A006532): 1 + 2 + 4 + 13 + 17 + 26 + 34 + 52 + 68 + 221 + 442 + 884 = 1764 = 42².

Source: What's Special About This Number?

407

407 = 11 x 37.

407 is a divisor of 100³ - 1.

407 is the maximum number of regions into which 28 lines divide the plane.

407 is the largest number that is the sum of the cubes of its digits: 407 = 4³ + 0³ + 7³. It is a narcissistic number.

407 = (7 - 3)³ + 7³.

407 is 1515 in base 6.

407 is the sum of three consecutive primes: 407 = 131 + 137 + 139.

Source: Number Gossip

182

182 = 2 x 7 x 13.

182 is a pronic number; it is the product of two consecutive numbers: 182 = 13 x 14.

182 is 222 in base 9 and 77 in base 25. It is 20202 in base 3 and 1212 in base 5.

182 is the number of connected bipartite graphs with 8 vertices.

182 = 3³ + 3³ + 4³ + 4³ = 14² - 14.

The USS Salmon  (SS-182) was a United States Navy submarine during World War II.

Source: Number Gossip

777

777 = 3 x 7 x 37.

777 is a divisor of 100³ - 1.

777 is 3333 in base 6.

Surrounding the number 777 with the number 11 forms the prime numbers 11777, 77711, 1177711, and 11117771111.

The Boeing 777 is a long-range, wide-body, twin-engine jet airliner.

Source: Numeropedia

869

869 = 11 x 79.

869 is the number of different resistances that can be created in a circuit of nine equal resistors (A048211).

The sum of the digits of 869 equals the sum of the digits of the 869th prime (6737) (A033549). 869 and the 869th prime (6737) have only the digit 6 in common (A107937).

869 is a number that yields a prime when 0 is inserted anywhere in it (but not added to the end or beginning) (A216169).

Source: What's Special About This Number?

2142

2142 = 2 x 3 x 3 x 7 x 17.

2142 is a divisor of 55⁴ - 1.

2142 is 32032 in base 5.

2142 is the sum of the totient function for the first 83 integers.

2142 is the number of ways of writing the number 63 as the sum of nine nonnegative cubes (A173682).

2142 is the sum of 10 consecutive primes (A127337): 2142 = 191 + 193 + 197 + 199 + 211 + 223 + 227 + 229 + 233 + 239.

Source: On-Line Encyclopedia of Integer Sequences

198

198 = 2 x 3 x 3 x 11.

198 is the smallest number with ten representations as a sum of four positive squares: 198 = 1² + 2² + 7² + 12² = 1² + 4² + 9² + 10² = 2² + 3² + 4² + 13² = 2² + 3² + 8² + 11² = 2² + 5² + 5² + 12² = 2² + 7² + 8² + 9² = 3² + 3² + 6² + 12² = 3² + 5² + 8² + 10² = 4² + 5² + 6² + 11² = 6² + 7² + 7² + 8².

198 is the first number between a twin prime pair such that if multiplied by its reversal (198 x 891 = 176418), the product is also between a twin prime pair.

198 can be formed by concatenating 19 and 8, where 19 is the 8th prime number. 198 is the (19 x 8 = 152)nd composite number.

198 = 11 + 99 + 88 = (100 - 1)(100-98).

198 x 27 = 5346 = 18 x 297. Each equality uses each of the nine digits 1 to 9 once.

Source: Prime Curios!

756

756 = 2 x 2 x 3 x 3 x 3 x 7.

756 is a pronic number, the product of two consecutive numbers, 27 and 28.

12 x 63 = 756 = 21 x 36.

756 is the maximum number of regions into which 14 spheres divide space.

756!/657! - 1 is a prime.

756 is 11011 in base 5. It is 3300 in base 6.

756 is the sum of six consecutive primes: 756 = 109 + 113 + 127 + 131 + 137 + 139.

Source: Number Gossip

387

387 = 3 x 3 x 43.

387 is the lesser of two consecutive numbers divisible by a square (A068781).

387 is 110000011 in base 2 (binary) (A006995).

387 x 7 - 38 = 2671, the 387th prime.

387 is the smallest number with sort-then-add persistence 10.

Source: Prime Curios!

667

667 = 23 x 29. It is the product of two successive primes (A006094) and two distinct Sophie Germain primes (A157344).

667 is the maximum number of regions into which 36 lines divide the plane (A000124).

667 is the number of asymmetric trees with 16 vertices (A000220).

667, 669, and 671 are all semiprimes (A092125).

667 YCF was on the license plates of the car driven by Meeno Paloma (Lou Diamond Philips) in the 2009 movie The Triangle.

Source: Prime Curios!

355

355 = 5 x 71.

355 divided by the prime number 113 yields a nice approximation of pi: 355/113 = 3.141592. . .

355 is the number of labeled topologies with four elements.

355 = 3 x 5! - 5.

355 is 543 in base 8 and 434 in base 9.

Source: Prime Curios!

740

740 = 2 x 2 x 5 x 37.

740 has two representations as a sum of two squares: 740 = 8² + 26² = 16² + 22².

740 is the number of self-avoiding walks of length 8.

740 is 3232 in base 8 and 345 in base 15.

740 is a hypotenuse for which there exist four distinct integer triangles (A084648).

Source: What's Special About This Number?

129

129 = 3 x 43.

129 is 10000001 in base (binary). It is 333 in base 6.

129 is the smallest number with four representations as a sum of three positive squares: 129 = 1² + 8² + 8² = 2² + 2² + 11² = 2² + 5² + 10² = 4² + 7² + 8².

129 is the sum of the first ten primes: 129 = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29.

129 is the smallest sum of distinct seventh powers: 129 = 1⁷ + 2⁷.

Source: Number Gossip

930

930 = 2 x 3 x 5 x 31. It is a pronic number, the product of two consecutive integers (A002378): 930 = 30 x 31. It is also the product of a prime and the previous number (A036689).

930 is the number of even permutations of seven elements with no fixed points.

930 is 656 in base 12 and 567 in base 13.

The sum of the divisors of 930 is a square (A006532): 1 + 2 + 3 + 5 + 6 + 10 + 15 + 30 + 31 + 62 + 93 + 155 + 186 + 310 + 465 + 930 = 2304 = 48².

Source: What's Special About This Number?

1124

1124 = 2 x 2 x 281.

1124 has a representation as a sum of two squares: 1124 = 10² + 32².

1124 is the maximum number of regions into which 34 circles divide a plane.

1124 is a number whose product of digits is equal to its sum of digits: 1 + 1 + 2 + 4 = 8 = 1 x 1 x 2 x 4.

1124 is 686 in base 13, 464 in base 16, 323 in base 19, and 272 in base 22.

1124 is a Leyland number (A076980).

Source: On-Line Encyclopedia of Integer Sequences