Properties of the Number 51157

Fifty-One Thousand One Hundred Fifty-Seven

Basics

Value: 51156 → 51157 → 51158

Parity: odd

Prime: Yes

Previous Prime: 51151

Next Prime: 51169

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 51157

Divisors: 1, 51157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1100011111010101

Octal: 143725

Duodecimal: 25731

Hexadecimal: c7d5

Square: 2617038649

Square Root: 226.17913254763357

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

Primes of the form n² + 81. A256775

Number of planted binary phylogenetic trees with n labels. A6677

Primes p such that x⁴⁹ = 2 has no solution mod p, but x⁷ = 2 has a solution mod p. A59667

Primes having only {1, 5, 7} as digits. A260828

T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-k-1. A211910

Determinant of M(n), the n X n matrix defined by m(i,i) = 1, m(i,j) = i-j. A79034

Primes p such that p+12, p+1234 and p+123456 are also prime. A236304

Positions of records in A205561. A378189

Quadruple lucky numbers (lower terms). Numbers n such that n, n+2, n+6, n+8 are all Lucky numbers. A139783

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 50. A31638