Properties of the Number 54005

Fifty-Four Thousand Five

Basics

Value: 54004 → 54005 → 54006

Parity: odd

Prime: No

Previous Prime: 54001

Next Prime: 54011

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 7 × 1543

Divisors: 1, 5, 7, 35, 1543, 7715, 10801, 54005

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011110101

Octal: 151365

Duodecimal: 27305

Hexadecimal: d2f5

Square: 2916540025

Square Root: 232.38975881049493

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

Numbers k with the property that k is a substring of its base-6 representation. A38106

Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299877

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299873

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299879

Sum of divisors of k such that k and k+1 have the same number and sum of divisors. A54005

Number of set partitions of [n] into exactly ten parts such that no part contains two elements with a circular distance less than three. A261486