Properties of the Number 53991

Fifty-Three Thousand Nine Hundred Ninety-One

Basics

Value: 53990 → 53991 → 53992

Parity: odd

Prime: No

Previous Prime: 53987

Next Prime: 53993

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 857

Divisors: 1, 3, 7, 9, 21, 63, 857, 2571, 5999, 7713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001011100111

Octal: 151347

Duodecimal: 272B3

Hexadecimal: d2e7

Square: 2915028081

Square Root: 232.3596350487752

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

Expansion of 1/(2 - ∏_k>=2 1/(1 - x^k)). A307057

Number of sets of nonempty words with a total of n letters over binary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293741

a(n) = A000203(n) * A024916(n). A143238

Number of strings of numbers x(i=1..7) in 0..n with sum i²*x(i)³ equal to 49·n³. A184322

Numbers k such that R_k + 20 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A256722

Number of distinct residues of generalized Catalan number 1/((n²-1)*k + 1)*binomial(n²*k, k) modulo n² as k runs through the positive integers. A53991