Properties of the Number 12556

Twelve Thousand Five Hundred Fifty-Six

Basics

Value: 12555 → 12556 → 12557

Parity: even

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 43 × 73

Divisors: 1, 2, 4, 43, 73, 86, 146, 172, 292, 3139

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100001100

Octal: 30414

Duodecimal: 7324

Hexadecimal: 310c

Square: 157653136

Square Root: 112.05355862265152

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 B-trees of order infinity with n leaves, where a(n) = ∑_{k=1..floor(n/2)} a(k)*C(n-k-1,n-2·k) for n >= 2, with a(0)=0, a(1)=1. A119262

Numbers m such that 2*φ(m) = φ(m+1). A50472

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 3 6 or 9. A251300

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i·x(i,j), i=1..n+1} nondecreasing. A232886

Expansion of e.g.f. ∏_{i>=1, j>=1} (1 + x^i·j)^1/(i·j). A318696

Expansion of ∑_k>0 (1/(1 - (k·x)^k)⁴ - 1). A363648

Arrange digits of cubes in ascending order. A32553

Numerator of sigma₃(n)/sigma₂(n). A298754

Number of fixed polyominoes with n cells of which no four are equally spaced on a straight line. A65068

a(n) = n + floor( n²/2 + n³/3 ). A236773