Properties of the Number 12688

Twelve Thousand Six Hundred Eighty-Eight

Basics

Value: 12687 → 12688 → 12689

Parity: even

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 13 × 61

Divisors: 1, 2, 4, 8, 13, 16, 26, 52, 61, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110010000

Octal: 30620

Duodecimal: 7414

Hexadecimal: 3190

Square: 160985344

Square Root: 112.64102272262978

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 A(n,k) of tilings of a k X n rectangle using dominoes and trominoes (of any shape); square array A(n,k), n>=0, k>=0, read by antidiagonals. A364457

Number of ways to place 2 nonattacking nightriders on an n X n board. A172141

a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime. A101042

Greater of a,b where n² = a³ + b³; a,b>0 and gcd(a,b)=1. The lesser of a,b is the corresponding term in A099532 and n, which is used to order this sequence, is the corresponding term in A099426. A99533

A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime. A101043

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, vertical or antidiagonal neighbor, without consecutive moves in the same direction. A221873

Greater value of a coprime pair (x,y) satisfying x³+y³=z². A282639

Table read by antidiagonals: T(h,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a box of size 2h X 2h X 2h where the walk starts at the middle of the box's edge. A336862

Terms in A112039 that are divisible by 3, divided by 3. A112040

Numbers k such that A090086(k), the smallest pseudoprime to base k (not necessarily exceeding k), is a Carmichael number. A293203