Properties of the Number 55926

Fifty-Five Thousand Nine Hundred Twenty-Six

Basics

Value: 55925 → 55926 → 55927

Parity: even

Prime: No

Previous Prime: 55921

Next Prime: 55927

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 × 239

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101001110110

Octal: 155166

Duodecimal: 28446

Hexadecimal: da76

Square: 3127717476

Square Root: 236.4867861001963

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

Structured tetrakis hexahedral numbers (vertex structure 5). A100174

Number of ways to place eight distinct positive integers on a square, four on the corners and four on the sides such that the sum of the three values on each side is n. A380962

a(n) = n*(n + 1)*(19·n - 16)/6. A237618

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹). A17831

Numbers k such that {largest m such that 1, 2, ..., m divide k} is different from {largest m such that m! divides k}; numbers k which are either odd multiples of 12 or the largest m such that (m-1)! divides k is a composite number > 5. A55926

Solution to a(n)^n²/a(n) = gcd(nⁿ, ∏_k<n k^k) where a(n) and n²/a(n) are integers, or 0 if no such integers exist. A56583