Properties of the Number 56155

Fifty-Six Thousand One Hundred Fifty-Five

Basics

Value: 56154 → 56155 → 56156

Parity: odd

Prime: No

Previous Prime: 56149

Next Prime: 56167

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 11 × 1021

Divisors: 1, 5, 11, 55, 1021, 5105, 11231, 56155

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101101011011

Octal: 155533

Duodecimal: 285B7

Hexadecimal: db5b

Square: 3153384025

Square Root: 236.97046229435432

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 T(n,k) in which the n-th row encodes the inverse of a 3n+1 X 3n+1 Jacobi matrix, with 1's on the lower, main, and upper diagonals in GF(2), where the encoding consists of the decimal representations for the binary rows (n >= 1, 1 <= k <= 3n+1). A363099

Decimal expansion of (3+sqrt(17))/2. A178255

Positive integer k, 1 <= k <= n, which maximizes k^n+1-k. A56155

Alternating ones and twos tridiagonal matrices ( columns of 1's and twos) to give a triangular sequence: m(n,m,d)=If[ n == m, 1 + (1 - (-1)^{n + 1})/2, If[n == m - 1 || n == m + 1, 1 + (1 - (-1)ⁿ)/2, 0]]. A124036