Properties of the Number 53442

Fifty-Three Thousand Four Hundred Forty-Two

Basics

Value: 53441 → 53442 → 53443

Parity: even

Prime: No

Previous Prime: 53441

Next Prime: 53453

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2969

Divisors: 1, 2, 3, 6, 9, 18, 2969, 5938, 8907, 17814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000011000010

Octal: 150302

Duodecimal: 26B16

Hexadecimal: d0c2

Square: 2856047364

Square Root: 231.17525819170183

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

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266101

Numbers that are the sum of ten fifth powers in three or more ways. A345635

Numbers that are the sum of ten fifth powers in exactly three ways. A346348

Number of nX5 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266098

Number of 5Xn integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266105

First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A² and the multiset of digits of B², for some B >= A. Note that terms may be repeated. A389379

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, 0), (1, -1, 1), (1, 1, -1), (1, 1, 0)}. A150640

G.f.: A(x) = 1/(1 - x*(1+x)/(1 - x²*(1+x)/(1 - x³*(1+x)/(1 - x⁴*(1+x)/(1 - ...))))), a continued fraction. A193021

Number of n X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself. A266095

Moments of generalized Motzkin paths. A53442