Properties of the Number 56133

Fifty-Six Thousand One Hundred Thirty-Three

Basics

Value: 56132 → 56133 → 56134

Parity: odd

Prime: No

Previous Prime: 56131

Next Prime: 56149

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁶ × 7 × 11

Divisors: 1, 3, 7, 9, 11, 21, 27, 33, 63, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101101000101

Octal: 155505

Duodecimal: 28599

Hexadecimal: db45

Square: 3150913689

Square Root: 236.9240384595873

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

Triangle read by rows, 3^k*S₃(n, k) where S_m(n, k) are the Stirling-Frobenius subset numbers of order m; n >= 0, k >= 0. A225466

Array read by descending antidiagonals: A(n,k) is the number of oriented colorings of the facets of a regular n-dimensional orthotope using up to k colors. A325004

Square array read by antidiagonals downwards: super Patalan numbers of order 3. A248324

Denominators of coefficients of polynomials arising from Chebyshev quadrature. A2680

Odd numbers divisible by exactly 8 primes (counted with multiplicity). A46321

Number of bipartite graphs with 4 edges on nodes {1..n}. A53527

T(n, k) is the coefficient of z^k in the numerator of the polynomial part of zⁿ*exp(-n·s), where s = hypergeom([1, 1, 3/2], [2, 5/2], 1/z²)/(6z²); related to Chebyshev's quadrature. Triangle read by rows, T(n,k) for 0 <= k <= n. A101270

Irregular triangle read by rows: row n gives numerators of coefficients of polynomials arising from Chebyshev quadrature. A324123

Smallest number having n divisors ending with 1 or 9. A85645

Number of 4 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224040