Properties of the Number 81555

Eighty-One Thousand Five Hundred Fifty-Five

Basics

Value: 81554 → 81555 → 81556

Parity: odd

Prime: No

Previous Prime: 81553

Next Prime: 81559

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 5437

Divisors: 1, 3, 5, 15, 5437, 16311, 27185, 81555

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111010010011

Octal: 237223

Duodecimal: 3B243

Hexadecimal: 13e93

Square: 6651218025

Square Root: 285.57836052474283

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

Expansion of (5-12·x-9·x²+8·x³+x⁴)/(1-3·x-3·x²+4·x³+x⁴-x⁵). A189237

Number of magic labelings of the graph LOOP X C₉ (see comments) having magic sum n, n >= 0. A293310

Rectangular array read by antidiagonals: A(n,k) = number of magic labelings of the graph LOOP X C_n (see comments) having magic sum k, n >= 1, k >= 0. A293311

a(n) = 6·a(n-1) - a(n-2) - 4, a(0)=3, a(1)=7. A81555

Rectangular array read by antidiagonals: A(n,k) = tr((M_n)^k), k >= 0, where M_n is the n X n matrix M₁ = {{1}}, M_n = {{0,...,0,1},{0,...,0,1,1},...,{0,1,...,1},{1,...,1}}, n > 1, and tr(.) is the trace. A293312