Properties of the Number 12826

Twelve Thousand Eight Hundred Twenty-Six

Basics

Value: 12825 → 12826 → 12827

Parity: even

Prime: No

Previous Prime: 12823

Next Prime: 12829

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 ² × 53

Divisors: 1, 2, 11, 22, 53, 106, 121, 242, 583, 1166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001000011010

Octal: 31032

Duodecimal: 750A

Hexadecimal: 321a

Square: 164506276

Square Root: 113.25193155085701

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

Expansion of (1/2)*(1/(x+1)+1/(sqrt(-3·x²-2·x+1))). A246437

Total number of parts in all overpartitions of n. A235792

a(n)=a(n-1)+a(m), where m=2n-2-2^p+1 and 2^p<n-1<=2^p+1, for n >= 4. A50063

Number of humps in all Motzkin paths of length n. (A hump is an upstep followed by 0 or more flatsteps followed by a downstep.) A97861

a(n) = 2·1 + 4·3 + 6·5 + 8·7 + 10·9 + 12·11 + ... + (up to the n-th term). A319866

Start with 83; if even, divide by 2; if odd, add next three primes: Orbit of 83 under iterations of A174221, the "PrimeLatz" map. A293979

Minimal number m such that Sum_digits(n·m)=n. A131382

Numbers with two or more distinct prime factors such that the number and all its prime factors fall on a single straight line when they are plotted on a square spiral. A346294

Number of dissections of a convex polygon by nonintersecting diagonals into polygons with even number of sides and having a total number of n edges (sides and diagonals). A67955

G.f. satisfies A(x) = 1/(1-x) + x³*(1-x)*A(x)⁵. A364597