Properties of the Number 12796

Twelve Thousand Seven Hundred Ninety-Six

Basics

Value: 12795 → 12796 → 12797

Parity: even

Prime: No

Previous Prime: 12791

Next Prime: 12799

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 457

Divisors: 1, 2, 4, 7, 14, 28, 457, 914, 1828, 3199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111111100

Octal: 30774

Duodecimal: 74A4

Hexadecimal: 31fc

Square: 163737616

Square Root: 113.11940593903418

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

Numbers n such that Bernoulli number B_n has denominator 870. A272185

Number of Catalan objects of size n fixed by Catalan Automorphism A057511/A057512 (deep rotation of general parenthesizations/plane trees). A57546

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250783

Triangle of numbers of semi-meanders of order n with k components. A46726

Number of tilings of a 20 X n rectangle using 2·n copies of the disconnected shape [ooooo_____ooooo]. A322473

Denominator of (prime(n)+1)*(prime(n+1)+1)/(4*(prime(n)*prime(n+1)+1)). A79082

G.f.: ∑_n>=0 3ⁿ * xⁿ / (1-x)^2·n+1 * [∑_k=0..n C(n,k)² * x^k]². A246539

Expansion of ∑_k>0 (1/(1+x^k)⁴ - 1). A363631

a(n) is the smallest number m from A173977 for which A020639(2m-1) = prime(n). A173979

Number of partitions p of n such that (number of numbers in p of form 3k+2) = (number of numbers in p of form 3k). A241741