Properties of the Number 12951

Twelve Thousand Nine Hundred Fifty-One

Basics

Value: 12950 → 12951 → 12952

Parity: odd

Prime: No

Previous Prime: 12941

Next Prime: 12953

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1439

Divisors: 1, 3, 9, 1439, 4317, 12951

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010010111

Octal: 31227

Duodecimal: 75B3

Hexadecimal: 3297

Square: 167728401

Square Root: 113.80246043034394

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

Maximal number of regions obtained by joining n points around a circle by straight lines. Also number of regions in 4-space formed by n-1 hyperplanes. A127

Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions. A6533

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300539

Triangle read by rows: T(n,k) is number of (n-k) X k matrices, k=0..n, with nonnegative integer entries and every row and column sum <= 2. A131235

Number of n X n matrices with nonnegative integer entries and every row and column sum <= 2. A49088

Total number of binary digits in all partitions of n into distinct parts. A319140

Numbers n such that 9·10ⁿ + 8·R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103109

Expansion of g.f. (1+z)²⁴/(1-z). A171445

Triangle, read by rows, T(n, k) = ∑_j=0..k (-1)^j*(k-j+1)ⁿ*binomial(n+1, j) *binomial(n+2, j)/(j+1). A176124

Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300536