Properties of the Number 12309

Twelve Thousand Three Hundred Nine

Basics

Value: 12308 → 12309 → 12310

Parity: odd

Prime: No

Previous Prime: 12301

Next Prime: 12323

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 373

Divisors: 1, 3, 11, 33, 373, 1119, 4103, 12309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000010101

Octal: 30025

Duodecimal: 7159

Hexadecimal: 3015

Square: 151511481

Square Root: 110.94593277808791

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

-1 + number of partitions of n. A65

Potential magic constants of 9 X 9 magic squares composed of consecutive primes. A191679

Number of binary strings of length n+7 such that the smallest number whose binary representation is not visible in the string is 9. A261474

Number of integers in n-th generation of tree T(-5/2) defined in Comments. A274155

Number of integer partitions of n not forming an arithmetic progression with offset 0. A389920

a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=9. A22408

a(n) = a(n-2) + a(n-3) + 2·a(n-4), with a(1) = 0, a(2) = 2, a(3) = 3, a(4) = 10. A175899

Numbers b_n of Fibonacci-quilt legal decompositions of n. A289432

On a diagonally numbered square grid, with labels starting at 1, this is the number of steps that a (1,n) leaper makes before getting trapped when moving to the lowest available unvisited square, or -1 if it never gets trapped. A352730

Expansion of 1/((1-3x)(1-8x)(1-10x)(1-12x)). A28103