Properties of the Number 12555

Twelve Thousand Five Hundred Fifty-Five

Basics

Value: 12554 → 12555 → 12556

Parity: odd

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 31

Divisors: 1, 3, 5, 9, 15, 27, 31, 45, 81, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100001011

Octal: 30413

Duodecimal: 7323

Hexadecimal: 310b

Square: 157628025

Square Root: 112.0490963818986

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

Triangular matrix T that satisfies: T³ - T² + I = SHIFT_LEFT(T), as read by rows. A185620

T(n,k)=Number of nXk 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically, diagonally or antidiagonally, and top left element zero. A233026

Integers that need 10 iterations of the map x->A352172(x) to reach 1. A352268

Expansion of ∏_k>=1 (1 + (k-1)*x^k). A267007

Successive powers of the matrix A=[1,2;3,4] written by rows in groups of 4. A100638

Starting values k of Collatz orbits that achieve a new minimum of ∏_{j == 4 mod 6 in "3x+1" orbit of k} (j-1)/j. A391017

Triangle read by rows giving coefficients of polynomials arising in successive differences of central binomial numbers. A94796

Numbers n such that for some k and a₁,a₂,...,a_k the concatenation of the a_i is equal to n and their product is equal to π(n). A97221

Column 1 of triangular matrix T = A185620, which satisfies: T³ - T² + I = SHIFT_LEFT(T). A185621

a(n) is the maximum water retention of a height-3 length-n number parallelogram with maximum water area. A303295