Properties of the Number 86464

Eighty-Six Thousand Four Hundred Sixty-Four

Basics

Value: 86463 → 86464 → 86465

Parity: even

Prime: No

Previous Prime: 86461

Next Prime: 86467

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 7 × 193

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000111000000

Octal: 250700

Duodecimal: 42054

Hexadecimal: 151c0

Square: 7476023296

Square Root: 294.0476151918257

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

a(0) = a(1) = 1; a(n+2) = 2·a(n+1) + 2·a(n). A26150

a(n) = 8·a(n-1) - 4·a(n-2), where a(0) = 1, a(1) = 4. A90965

a(n)*a(n+3) - a(n+1)*a(n+2) = 2ⁿ, given a(0) = 1, a(1) = 1, and a(2) = 1. A80876

Least even integer k such that numerator(B_k) == 0 (mod 59ⁿ). A299466

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of (1-(k+1)*x) / (1-2*(k+1)*x+((k-1)*x)²). A333988

a(n) = 441n² + 2n. A158321

E.g.f.: ∑_n>=0 ((1+x)ⁿ - 1)ⁿ * 4ⁿ / n!. A326274

Least number 2k such that p³ divides the numerator of the Bernoulli number B(2k), where p is the n-th irregular prime, A000928(n). A92682

Expansion of g.f.: x²*(1 + x - x²)/(1 - 2·x² - 2·x⁴). A160444

a(n) = ∑_{k=0..floor(n/3)} 2^k * 3^n-3·k * binomial(k,n-3·k)². A387479