Properties of the Number 12669

Twelve Thousand Six Hundred Sixty-Nine

Basics

Value: 12668 → 12669 → 12670

Parity: odd

Prime: No

Previous Prime: 12659

Next Prime: 12671

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 41 × 103

Divisors: 1, 3, 41, 103, 123, 309, 4223, 12669

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101111101

Octal: 30575

Duodecimal: 73B9

Hexadecimal: 317d

Square: 160503561

Square Root: 112.55665240224586

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

Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists. A73520

Total number of smallest parts in all partitions of n that do not contain 1 as a part. A195820

a(n) = PrimePi(n³) - PrimePi(n)³, where PrimePi = A000720. A291538

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300115

Number of rectangular plane partitions of n with strictly decreasing rows and columns. A323430

Number of partitions of n into parts 3k or 3k+1. A35360

Expansion of exp(exp(x)-1)/(2-exp(x)). A59099

Number of parts in all thrice partitions of n into distinct parts. A327628

Triangle read by rows: T(m,n) is the label of the largest square that an (m,n)-leaper (a generalization of a chess knight) reaches before it can no longer move, starting on a board with squares spirally numbered, starting at 1; 1 <= n < m. Each move is to the lowest-numbered unvisited square. A306197

Numbers k such that the decimal expansion of π^k begins (after the decimal point) with k. A100323