Properties of the Number 83313

Eighty-Three Thousand Three Hundred Thirteen

Basics

Value: 83312 → 83313 → 83314

Parity: odd

Prime: No

Previous Prime: 83311

Next Prime: 83339

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 9257

Divisors: 1, 3, 9, 9257, 27771, 83313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010101110001

Octal: 242561

Duodecimal: 40269

Hexadecimal: 14571

Square: 6941055969

Square Root: 288.63991407980984

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

Somos-4 sequence: a(0)=a(1)=a(2)=a(3)=1; for n >= 4, a(n) = (a(n-1) * a(n-3) + a(n-2)²) / a(n-4). A6720

Elliptic divisibility sequence associated with elliptic curve "37a1": y² + y = x³ - x and multiples of the point (0,0). A6769

A001333(n), n >= 1, convolved twice with itself. A54460

Triangle read by rows: T(n,k) is the numerator of the n-th term of the Somos-k sequence, 4 <= k <= n. A354486

a(n) = floor((1 + 1/π)ⁿ). A179492

A (25,-29) Somos-4 sequence. A352625

a(0)=1; a(n) = 3ⁿ - 2^n-1 for n >= 1. A83313

Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of these n·k points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of internal vertices in the resulting planar graph. A367303