Properties of the Number 51744

Fifty-One Thousand Seven Hundred Forty-Four

Basics

Value: 51743 → 51744 → 51745

Parity: even

Prime: No

Previous Prime: 51721

Next Prime: 51749

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 7 ² × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100101000100000

Octal: 145040

Duodecimal: 25B40

Hexadecimal: ca20

Square: 2677441536

Square Root: 227.4730753298069

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

a(n) = ∑_{k=0..floor(n/3)} binomial(2·n-4·k,n-3·k). A360151

Values of n·d(k)*sopf(k) associated with A134382. A134386

Number of 5-cycles in the n-tetrahedral graph. A289793

Numbers with prime factorization pqr^2s^5. A190293

Molien series for 9-dimensional group of structure Z₂ X Z₂ and order 4, corresponding to complete weight enumerators of Hermitian self-dual GF(3)-linear codes over GF(9). A92091

Triangle T(n,k) which contains 4·n!*2^floor((n+1)/2) times the coefficient [tⁿ x^k] exp(t·x)/(3 + exp(2·t)) in row n, column k. A171683

Number of one-sided prudent walks from (0,0) to (n,n), with 3+n east steps, 3 west steps and n north steps. A189769

Number of one-sided prudent walks from (0,0) to (n,n), with floor(n/2)+n east steps, floor(n/2) west steps and n north steps. A190425

Number of arrays of 4 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements. A215191

(7·n³+4·n²+4·n)*binomial(2·n,n)/30. A36973