Properties of the Number 12766

Twelve Thousand Seven Hundred Sixty-Six

Basics

Value: 12765 → 12766 → 12767

Parity: even

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 491

Divisors: 1, 2, 13, 26, 491, 982, 6383, 12766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111011110

Octal: 30736

Duodecimal: 747A

Hexadecimal: 31de

Square: 162970756

Square Root: 112.98672488394378

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 k such that k¹²⁸ + 1 is prime. A56994

T(n,k)=Number of nonnegative integer arrays of length n+k+1 with new values 0 upwards introduced in order, no three adjacent elements equal, and containing the value k+1. A211836

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having one or three distinct values, and new values 0..2 introduced in row major order. A210107

a(n) = n*(n² + 12·n - 25)/6. A26057

a(n) = prime(n)²-3. A182200

The number of trisubstitution products with composition C_n H_2n-1 X₂ Y. A159940

Number of (w,x,y) with all terms in {0,...,n} and 2*|w-x| > max(w,x,y) - min(w,x,y). A213045

a(n) is the total number of pentagrams in a variant of pentagram fractal after n iterations. A263418

Numbers k such that the continued fraction for sqrt(k) has period 94. A20433

Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k. A101475