Properties of the Number 28137

Twenty-Eight Thousand One Hundred Thirty-Seven

Basics

Value: 28136 → 28137 → 28138

Parity: odd

Prime: No

Previous Prime: 28123

Next Prime: 28151

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 83 × 113

Divisors: 1, 3, 83, 113, 249, 339, 9379, 28137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110111101001

Octal: 66751

Duodecimal: 14349

Hexadecimal: 6de9

Square: 791690769

Square Root: 167.74087158471545

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,34). A250241

T(n,k) is the number of permutations of [n] having exactly k pairs of integers i<j in [n] such that their cycle minima have opposite sorting order; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A381529

Number of columns of length 1 in all bargraphs of semiperimeter n (n>=2). A273900

Number of 5-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first differences in -n..n. A208996

a(n) = 4·a(n-1) + a(n-2) - n for n > 1, with a(0) = 0, a(1) = 1. A271388

Primes which satisfy the requirements of A380943 in more than one way. A383810

Triangle T(n,m) by rows: The number of tatami tilings of a 2 X n grid with dimers and 2·m monomers. A272471

Expansion of 1/((1-4x)(1-6x)(1-8x)(1-11x)). A28137