Properties of the Number 12825

Twelve Thousand Eight Hundred Twenty-Five

Basics

Value: 12824 → 12825 → 12826

Parity: odd

Prime: No

Previous Prime: 12823

Next Prime: 12829

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ² × 19

Divisors: 1, 3, 5, 9, 15, 19, 25, 27, 45, 57

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000011001

Octal: 31031

Duodecimal: 7509

Hexadecimal: 3219

Square: 164480625

Square Root: 113.24751652906124

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

Triangle read by rows: T(n,k) = number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to k. A180281

a(n) = 1·2 + 3·4 + 5·6 + 7·8 + 9·10 + 11·12 + 13·14 + ... + (up to n). A228958

a(n) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

a(n) = n²*(n²+3)/4. A39623

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Number of conjugacy classes in Chevalley group E₈(q) as q runs through the prime powers (A246655). A225938

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

Number of divisors of 240ⁿ. A103532

Numbers m > 1 that have a strict s-decomposition. A324460