Properties of the Number 12782

Twelve Thousand Seven Hundred Eighty-Two

Basics

Value: 12781 → 12782 → 12783

Parity: even

Prime: No

Previous Prime: 12781

Next Prime: 12791

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 × 11 × 83

Divisors: 1, 2, 7, 11, 14, 22, 77, 83, 154, 166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111101110

Octal: 30756

Duodecimal: 7492

Hexadecimal: 31ee

Square: 163379524

Square Root: 113.05750749065716

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 line segments (or edges) in regular n-gon with all diagonals drawn. A135565

a(n) = 1·2 + 3·4 + 5·6 + 7·8 + 9·10 + 11·12 + 13·14 + ... + (up to n). A228958

Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|. A212964

a(n) = ∑_k=1..n φ(k)². A57434

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302889

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

Number of isomorphism classes of 7-regular multigraphs of order 2n, loops allowed. A129435

A(n,k) for n >= k in triangular ordering, where A(n,k) is the number of compositions (ordered partitions) of n into k parts, with the first part greater than or equal to all other parts. A156042

A(n,n), where A(n,k) is the number of compositions (ordered partitions) of n into k parts (parts of size 0 being allowed), with the first part being greater than or equal to all the rest. A156043

Number of binary strings of length n which have more 00 than 01 substrings. A371358