Properties of the Number 52555

Fifty-Two Thousand Five Hundred Fifty-Five

Basics

Value: 52554 → 52555 → 52556

Parity: odd

Prime: No

Previous Prime: 52553

Next Prime: 52561

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 23 × 457

Divisors: 1, 5, 23, 115, 457, 2285, 10511, 52555

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110101001011

Octal: 146513

Duodecimal: 264B7

Hexadecimal: cd4b

Square: 2762028025

Square Root: 229.24877317010882

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

T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself. A265981

Number of ways to place 3 nonattacking kings on a 3 X n board. A172202

Number of partitions of n such that (number of distinct parts) >= least part. A239952

G.f.: ∑_k>=0 x^k * ∏_j=1..3·k (1 + x^j)/(1 - x^j). A385089

Numbers having four 5's in base 10. A43512

Number of 2Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself. A265982

Number of nX6 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors less than itself. A265980

Expansion of e.g.f. 1/(1-2·x-x²). A52555

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A300211