Properties of the Number 51256

Fifty-One Thousand Two Hundred Fifty-Six

Basics

Value: 51255 → 51256 → 51257

Parity: even

Prime: No

Previous Prime: 51241

Next Prime: 51257

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 43 × 149

Divisors: 1, 2, 4, 8, 43, 86, 149, 172, 298, 344

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100000111000

Octal: 144070

Duodecimal: 257B4

Hexadecimal: c838

Square: 2627177536

Square Root: 226.39787984873004

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

Expansion of 1/(1+x+2·x²+x³). A77979

Expansion of 1/(1 + 2·x + 3·x² + x³). A127896

Expansion of 1/(1-x+2·x²-x³) in powers of x. A77954

Number of 4-length words w over n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A213283

Number of partitions of n such that m(1) > m(3), where m = multiplicity. A240059

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2·b(n-1) - b(n-2) - 1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294564

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 37 ones. A31805

a(n) = ∑_k=0..n (-1)^k * binomial(n, k) * A000931(n-k+4). A144413

Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 3,0,2. A37656

a(n) = ∑_{k = 0..n} (-1)^n+k*binomial(n, k)*binomial(n+k, k)*A108625(n-1, n-k). A376458