Properties of the Number 55153

Fifty-Five Thousand One Hundred Fifty-Three

Basics

Value: 55152 → 55153 → 55154

Parity: odd

Prime: No

Previous Prime: 55147

Next Prime: 55163

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 7879

Divisors: 1, 7, 7879, 55153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101110001

Octal: 153561

Duodecimal: 27B01

Hexadecimal: d771

Square: 3041853409

Square Root: 234.84675854692992

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

a(0) = a(1) = 1; for n > 1, a(n) = n·a(n-1) + (-1)ⁿ. A1120

A(n,k) = !n + [n > 0] * (k·n!), where !n = A000166(n) is subfactorial of n and [] is an Iverson bracket; square array A(n,k), n>=0, k>=0, read by antidiagonals. A334715

a(n) = n·a(n-1) + (-1)ⁿ for n>0, a(0)=2. A236438

Number of (n+2) X 6 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. A204377

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and every four consecutive elements having its maximum within 4 of its minimum. A263712

Numbers k such that σ(k) = 7k/2. A55153