Properties of the Number 12507

Twelve Thousand Five Hundred Seven

Basics

Value: 12506 → 12507 → 12508

Parity: odd

Prime: No

Previous Prime: 12503

Next Prime: 12511

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 379

Divisors: 1, 3, 11, 33, 379, 1137, 4169, 12507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000011011011

Octal: 30333

Duodecimal: 72A3

Hexadecimal: 30db

Square: 156425049

Square Root: 111.83469944520797

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 nodes in regular n-gon with all diagonals drawn. A7569

Number of partitions p of n such that (number of numbers of the form 5k + 2 in p) is a part of p. A241551

a(n) = 9·n² - 13·n + 5. A214675

Number of vertices in an equilateral triangle "frame" of size n (see Comments in A328526 for definition). A333031

Number of partitions of n such that (greatest part) + (least part) = number of parts. A237869

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having exactly k UUU's (triple rises) where U=(1,1). Rows have 1,1,1,2,3,4,5,... entries, respectively. A92107

a(n) = 3·a(n-1) - 2·a(n-2) - a(n-3) + a(n-4) with n>3, a(0)=1, a(1)=2, a(2)=3, a(3)=7. A131300

Indices of pentagonal numbers which are also octagonal. A46187

a(n) = 338·n + 1. A158000

y-value of the smallest solution to x² - p·y² = 2*(-1)^(p+1/4), p = A002145(n). A306566