Properties of the Number 55715

Fifty-Five Thousand Seven Hundred Fifteen

Basics

Value: 55714 → 55715 → 55716

Parity: odd

Prime: No

Previous Prime: 55711

Next Prime: 55717

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 1013

Divisors: 1, 5, 11, 55, 1013, 5065, 11143, 55715

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100110100011

Octal: 154643

Duodecimal: 282AB

Hexadecimal: d9a3

Square: 3104161225

Square Root: 236.04025080481506

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

Number of solutions to c(1)t(1) + ... + c(n)t(n) = 0, where c(i) = +-1 for i>1, c(1) = t(1) = 1, t(i) = triangular numbers (A000217). A58498

T(n,k)=Number of nXk 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors). A208434

p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - S - S² - S³ - S⁴ - S⁵. A291007

Number of ways of partitioning the set of the first n positive triangular numbers into two subsets whose sums differ at most by 1. A308682

Number of nX3 0..2 arrays with new values 0..2 introduced in row major order and no element equal to any knight-move neighbor (colorings ignoring permutations of colors). A208429

Numbers k such that k | sigma₁₁(k). A55715