Properties of the Number 12306

Twelve Thousand Three Hundred Six

Basics

Value: 12305 → 12306 → 12307

Parity: even

Prime: No

Previous Prime: 12301

Next Prime: 12323

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 293

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 293, 586

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000010010

Octal: 30022

Duodecimal: 7156

Hexadecimal: 3012

Square: 151437636

Square Root: 110.93241185514718

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

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

Number of partitions of n-1 boys and one girl with no couple. A120452

Triangle read by rows: T(n,k) is the number of inequivalent colorings of lone-child-avoiding rooted trees with n colored leaves using exactly k colors. A339645

Number of partitions of n which represent first player winning Chomp positions with multiple winning moves. A112473

Number of partitions of n minus number of divisors of n. A144300

G.f.: ∏_k>0 (1-x^2k-1)/(1-x^2k). A106507

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Expansion of ∏_m>=1 (1+x^m)³. A22568

Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1. A35953

Number of partitions of n such that m(greatest part) >= m(1), where m = multiplicity. A240080

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