Properties of the Number 8319

Eight Thousand Three Hundred Nineteen

Basics

Value: 8318 → 8319 → 8320

Parity: odd

Prime: No

Previous Prime: 8317

Next Prime: 8329

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 59

Divisors: 1, 3, 47, 59, 141, 177, 2773, 8319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000001111111

Octal: 20177

Duodecimal: 4993

Hexadecimal: 207f

Square: 69205761

Square Root: 91.20855223058855

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 integer partitions of n having a part that can be written as a nonnegative linear combination of the other (possibly equal) parts. A364913

Number of compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503

A sequence of asymptotic density ζ(8) - 1, where ζ is the Riemann ζ function. A143034

Sum of the second largest parts of the partitions of n into 9 parts. A326472

Main diagonal of array A255551. A255550

a(1) = 1, then subtract, add, and multiply 2, 3, 4; 5, 6, 7; ... in that order. A362269

The Gi1 and Gi2 sums of Losanitsch's triangle A034851. A192928

Wiener index of a benzenoid consisting of a double-step zig-zag chain of n hexagons (n >= 2, s = 2123; see the Gutman et al. reference). A193395

Number of partitions of n with exactly five part sizes. A365631

Number of cubefree integers not exceeding 10ⁿ. A160112