Properties of the Number 53226

Fifty-Three Thousand Two Hundred Twenty-Six

Basics

Value: 53225 → 53226 → 53227

Parity: even

Prime: No

Previous Prime: 53201

Next Prime: 53231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2957

Divisors: 1, 2, 3, 6, 9, 18, 2957, 5914, 8871, 17742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111111101010

Octal: 147752

Duodecimal: 26976

Hexadecimal: cfea

Square: 2833007076

Square Root: 230.70760715676457

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

The number of monic integer polynomials of degree n all of whose roots are distinct and of modulus at most 1. A280709

E.g.f. satisfies A(x) = x·exp(x - 2·A(x)). A360483

Map from binary trees of size n to the set of corresponding trivalent plane trees (tpt) represented as size 2n+1 general trees. A83930

Number of n element 0..2 arrays with each element the minimum of 4 adjacent elements of a random 0..2 array of n+3 elements. A217879

Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations. A242101

E.g.f. C(x) satisfies: C(x)² + 2·S(x)² = 1 such that S'(x) = C(x)² - S(x)*C(x) and C'(x) = 2·S(x)² - 2·S(x)*C(x), where S(x) is described by A279842. A279841

Numbers k for which σ(k) > σ(k+1). A53226

T(n,k) = number of n-element 0..2 arrays with each element the minimum of k adjacent elements of a random 0..2 array of n+k-1 elements. A217883

G.f. A(x) satisfies: 1+x = A(x)² + A(x)⁵ - A(x)⁶. A249928

Chung-Graham juggling polynomials as a triangular sequence of positive coefficients. A137267