Properties of the Number 12399

Twelve Thousand Three Hundred Ninety-Nine

Basics

Value: 12398 → 12399 → 12400

Parity: odd

Prime: No

Previous Prime: 12391

Next Prime: 12401

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 4133

Divisors: 1, 3, 4133, 12399

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000001101111

Octal: 30157

Duodecimal: 7213

Hexadecimal: 306f

Square: 153735201

Square Root: 111.35079703351926

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 reduced words of length n in the Weyl group B₇. A161716

Expansion of g.f. x³/(1 - 2·x + x³ - x⁴). A59633

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,1,1,0 for x=0,1,2,3,4. A197350

Self-convolution equals A112565. A112567

Least k such that the Collatz (3x+1) iteration starting with k has "dropping time" A122437(n). A122442

Smallest precursor of n-th cycle in the "Recurring Digital Invariant Variant" problem. A151543

Fibonacci sequence beginning 9, 7. A190995

Triangle, read by rows, of coefficients of q^nk in the q-analog of the even double factorials: T(n,k) = [q^nk] ∏_j=1..n (1-q^2j)/(1-q) for n>0, with T(0,0)=1. A128596

Column 2 of triangle A128596; a(n) = coefficient of q²ⁿ⁺⁴ in the q-analog of the even double factorials (2n+4)!! for n>=0. A128597

a(n) = 400·n - 1. A158317