Properties of the Number 55101

Fifty-Five Thousand One Hundred One

Basics

Value: 55100 → 55101 → 55102

Parity: odd

Prime: No

Previous Prime: 55079

Next Prime: 55103

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 18367

Divisors: 1, 3, 18367, 55101

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011100111101

Octal: 153475

Duodecimal: 27A79

Hexadecimal: d73d

Square: 3036120201

Square Root: 234.73602194805977

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 of n with rank a multiple of 6. A363238

0-sequence of reduction of (n²+n+1) by x² -> x+1. A192299

Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207781

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, 1), (0, 1, 1), (1, 0, -1)}. A150038

Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q²/ ( 1+q³/ ( 1+q⁴/... )))). A55101

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207785