Properties of the Number 53739

Fifty-Three Thousand Seven Hundred Thirty-Nine

Basics

Value: 53738 → 53739 → 53740

Parity: odd

Prime: No

Previous Prime: 53731

Next Prime: 53759

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 853

Divisors: 1, 3, 7, 9, 21, 63, 853, 2559, 5971, 7677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000111101011

Octal: 150753

Duodecimal: 27123

Hexadecimal: d1eb

Square: 2887880121

Square Root: 231.81673796341798

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)=1/6 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last. A184477

1/6 the number of (n+2)X(n+2) 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last. A184468

Number of multisets of nonempty words with a total of n letters over 6-ary alphabet such that within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A292721

1/6 the number of (n+2)X6 0..2 arrays with each 3X3 subblock containing one of one value, four of another, and four of the last. A184472

Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet such that within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; square array A(n,k), n>=0, k>=0, read by antidiagonals. A292712

Partial sums of A014166. A53739