Properties of the Number 55979

Fifty-Five Thousand Nine Hundred Seventy-Nine

Basics

Value: 55978 → 55979 → 55980

Parity: odd

Prime: No

Previous Prime: 55967

Next Prime: 55987

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 7 × 11 × 727

Divisors: 1, 7, 11, 77, 727, 5089, 7997, 55979

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101101010101011

Octal: 155253

Duodecimal: 2848B

Hexadecimal: daab

Square: 3133648441

Square Root: 236.59881656508767

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

Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.) A241339

Number of partitions of n such that the least part occurs with even multiplicity. A96374

Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2). A241734

Numbers k such that (φ(k-2) + φ(k+2))/2 = φ(k); 2-φ/balanced numbers. A99633

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = e - 1. A279590

Terms of sequence A133342 interpreted as numbers written in base 2 and converted here to base 10. A349304

Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 2,2 3,1 3,2 4,3 5,3 polyhexes in any orientation on a planar nXnXn triangular grid. A155408

Solutions (value of r) of the Diophantine equation 2·x² + 3·x + 2 = r². A55979