Properties of the Number 4309

Four Thousand Three Hundred Nine

Basics

Value: 4308 → 4309 → 4310

Parity: odd

Prime: No

Previous Prime: 4297

Next Prime: 4327

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 31 × 139

Divisors: 1, 31, 139, 4309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010101

Octal: 10325

Duodecimal: 25B1

Hexadecimal: 10d5

Square: 18567481

Square Root: 65.64297372910524

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 some part repeated. A47967

a(n) = n*(9·n - 1)/2. A22266

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1. A113743

Number of sums S of distinct positive integers satisfying S <= n. A26906

Number of partitions of n with at least 1 odd and 1 even part. A6477

Triangle T(n,k) of numbers of minimal 5-covers of an unlabeled n+5-set that cover k points of that set uniquely (k=5,..,n+5). A57968

Number of partitions of n into parts congruent to {2, 3, 4} mod 6. A97451

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2 X 2 subblock equal. A236884

Numbers that are the sum of nine fourth powers in four or more ways. A345588

Numbers that are the sum of nine fourth powers in five or more ways. A345589