Properties of the Number 12968

Twelve Thousand Nine Hundred Sixty-Eight

Basics

Value: 12967 → 12968 → 12969

Parity: even

Prime: No

Previous Prime: 12967

Next Prime: 12973

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 1621

Divisors: 1, 2, 4, 8, 1621, 3242, 6484, 12968

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010101000

Octal: 31250

Duodecimal: 7608

Hexadecimal: 32a8

Square: 168169024

Square Root: 113.87712676389407

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 regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments. A108914

Series for second parallel moment of square lattice (eventually changes sign). A6729

Expansion of (1-sqrt(1-4·log(1+x)))/2. A87138

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 5/4. A279677

Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A298549

Irregular array T(n,k) of the numbers of distinct shapes under rotation of the non-extendable (complete) non-self-adjacent simple paths of each length within a square lattice bounded by rectangles with nodal dimensions n and 3, n >= 2. A213433

arctanh(arctan(x)+log(x+1))=2·x-1/2!*x²+16/3!*x³-54/4!*x⁴+876/5!*x⁵... A12968