Properties of the Number 5192

Five Thousand One Hundred Ninety-Two

Basics

Value: 5191 → 5192 → 5193

Parity: even

Prime: No

Previous Prime: 5189

Next Prime: 5197

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 11 × 59

Divisors: 1, 2, 4, 8, 11, 22, 44, 59, 88, 118

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001001000

Octal: 12110

Duodecimal: 3008

Hexadecimal: 1448

Square: 26956864

Square Root: 72.05553413860729

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 in which no parts are multiples of 5. A35959

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

Number of possible queen moves on an n X n chessboard. A35005

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8. A252053

Trajectory of 29 under the `29x+1' map: x -> x/p if p = least prime factor(x) < 29, else x·29 + 1. A57687

Numbers which are representable as a sum of eleven but no fewer consecutive nonnegative integers. A270299

Convolution of A000010 with itself. A65093

a(n) + a(n+1) + a(n+2) = n³. A152728

Number of Motzkin meanders of length n with an even number of humps and an even number of peaks. A325921

Even pentagonal numbers. A14633