Properties of the Number 81462

Eighty-One Thousand Four Hundred Sixty-Two

Basics

Value: 81461 → 81462 → 81463

Parity: even

Prime: No

Previous Prime: 81457

Next Prime: 81463

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13577

Divisors: 1, 2, 3, 6, 13577, 27154, 40731, 81462

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111000110110

Octal: 237066

Duodecimal: 3B186

Hexadecimal: 13e36

Square: 6636057444

Square Root: 285.41548661556544

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

The number of tilings of an equilateral triangle of side length n with k lozenges and n² - 2·k unit triangles. Triangle T(n, k) with n >= 1 and 0 <= k <= n*(n + 1)/2, read by rows. A273464

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,3*(n-2·k)). A392254

Expansion of ∏_k>=0 ((1+x^2·k+1)/(1-x^2·k+1))³. A261647

G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)⁴ⁿ)...)¹²)⁸)⁴. A138214

Consider the mapping f(a/b) = (a²+b³)/(a³+b²) from rationals to rationals. Starting with 1/2 (a=1, b=2) and applying the mapping to each new (reduced) rational number gives 1/2, 9/5, 103/377, ... . Sequence gives values of the denominators. A81462