Properties of the Number 56632

Fifty-Six Thousand Six Hundred Thirty-Two

Basics

Value: 56631 → 56632 → 56633

Parity: even

Prime: No

Previous Prime: 56629

Next Prime: 56633

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7079

Divisors: 1, 2, 4, 8, 7079, 14158, 28316, 56632

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110100111000

Octal: 156470

Duodecimal: 28934

Hexadecimal: dd38

Square: 3207183424

Square Root: 237.97478858063937

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

Sum of Gaussian binomial coefficients [ n,k ] for q=3. A6117

Rightmost border of triangle A127714: a(n) = A127714(n, (n+1)*(n+2)/2 - 1). A127715

Triangle T, read by rows, where column k of T = column 0 of matrix power T^k+1 for k>0, with column 0 of T = unsigned column 0 of T^-1 (shifted). A152400

Stirling-like number triangle defined by sequence A000217. A80248

Square array, read by antidiagonals, where row n+1 is generated from row n by first removing terms in row n at positions {m*(m+1)/2, m>=0} and then taking partial sums, starting with all 1's in row 0. A152405

Augmentation of the Catalan triangle, A009766. See Comments. A193560

Square array read by descending antidiagonals: T(n,k) is the number of subgroups of the elementary abelian group of order A000040(k)ⁿ for n >= 0 and k >= 1. A370887

a(n) is the total perimeter of all self-avoiding polygons of area n on the square lattice. A56632

Number of (2+1) X (n+1) arrays of permutations of 0..n·3+2 with each element having directed index change 0,0 0,1 1,0 -1,0 or 0,-2. A264219