Properties of the Number 8361

Eight Thousand Three Hundred Sixty-One

Basics

Value: 8360 → 8361 → 8362

Parity: odd

Prime: No

Previous Prime: 8353

Next Prime: 8363

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 929

Divisors: 1, 3, 9, 929, 2787, 8361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010101001

Octal: 20251

Duodecimal: 4A09

Hexadecimal: 20a9

Square: 69906321

Square Root: 91.43850392476902

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(n) = a(n-1) + a(n-2) + 1, with a(0) = a(1) = 1. A1595

a(n) = 2ⁿ + n². A1580

Square array, read by ascending antidiagonals, of the crystal ball sequences for the root lattices of type C_n. A142992

Number of integer partitions of n with all distinct lengths of maximal gapless runs (decreasing by 0 or 1). A384884

a(n+2) = a(n+1) + a(n) + (-1)ⁿ, with a(1) = a(2) = 1. A66983

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

Expansion of g.f. x*(1+x)⁴/(1-x)⁶. A69038

Concentric 22-gonal numbers. A195149

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

Triangle read by rows: T(n,k) = number of k-part order-consecutive partition of {1,2,...,n} (1 <= k <= n). A56242