Properties of the Number 13125

Thirteen Thousand One Hundred Twenty-Five

Basics

Value: 13124 → 13125 → 13126

Parity: odd

Prime: No

Previous Prime: 13121

Next Prime: 13127

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 ⁴ × 7

Divisors: 1, 3, 5, 7, 15, 21, 25, 35, 75, 105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11001101000101

Octal: 31505

Duodecimal: 7719

Hexadecimal: 3345

Square: 172265625

Square Root: 114.564392373896

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

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

a(n) = A276086(A003415(n)), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function. A327859

Scaled Chebyshev U-polynomial evaluated at sqrt(5)/2. A30191

Numbers that are the sum of 9 positive 7th powers. A3376

Numbers that are the sum of 5 nonzero 8th powers. A3383

5 times pentagonal numbers: 5·n*(3·n-1)/2. A152734

Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005. A125016

Numbers with exactly 3 distinct odd prime divisors {3,5,7}. A147576

24-gonal numbers: a(n) = n*(11·n-10). A51876

Base 4 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-4 digits, for some k. A162219