Properties of the Number 12597

Twelve Thousand Five Hundred Ninety-Seven

Basics

Value: 12596 → 12597 → 12598

Parity: odd

Prime: No

Previous Prime: 12589

Next Prime: 12601

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 17 × 19

Divisors: 1, 3, 13, 17, 19, 39, 51, 57, 221, 247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000100110101

Octal: 30465

Duodecimal: 7359

Hexadecimal: 3135

Square: 158684409

Square Root: 112.23635774560755

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

4-dimensional pyramidal numbers: a(n) = (3·n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n). A1296

Triangle read by rows: T(n,k) is the number of n edge non-orientable genus k maps. A380235

Numbers k such that prime(k) + prime(k+1) + prime(k+2) is a square. A76305

a(n) = number of non-orientable genus 2 maps with n edges. A348803

Numbers k such that the central binomial coefficient C(2k,k) is divisible by k². A121943

Number of compositions of n in which the smallest part is equal to the number of parts. A98133

Numbers k which divide the sum of the Fibonacci numbers F(1) through F(k) and such that k is not a multiple of 24. A124456

Odd squarefree numbers n such that the cyclotomic polynomial φ(n,x) has height 5. A152943

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p={p₁, p₂, p₃, p₄} = {-3,0,1,2}, n=3·r+p_i, and define a(-3)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,4,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(2·cos(π/9)). A187498

a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5). A27660