Properties of the Number 83200

Eighty-Three Thousand Two Hundred

Basics

Value: 83199 → 83200 → 83201

Parity: even

Prime: No

Previous Prime: 83177

Next Prime: 83203

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸ × 5 ² × 13

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100010100000000

Octal: 242400

Duodecimal: 40194

Hexadecimal: 14500

Square: 6922240000

Square Root: 288.44410203711914

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 ∏_k>=1 (1 - x^k)¹⁶. A739

a(n) = 13·a(n-1) - 65·a(n-2) + 156·a(n-3) - 182·a(n-4) + 91·a(n-5) - 13·a(n-6), with initial terms 0, -1, -5, -22, -91, -364. A216597

Numbers k such that A122111(k) [conjugated prime factorization of k] is one of Ore's Harmonic numbers (in A001599). A336317

Irregular triangle T(n,k) read by rows in which n-th row lists in colex order all series-reduced tree degree sequences D of n nodes encoded as t = ∏_{d in D} prime(d); n >= 4, 1 <= k <= A002865(n-2). A345970

a(n) = 3ⁿ - 1. A24023

Polynexus numbers of order 7. A83200

G.f. A(x) satisfies: [xⁿ] A(x)⁽ⁿ⁺¹(n+2)/2) = 0 for n>1 with a(0)=1 and a(1)=2. A250117

The number of similarity classes of pointed reflection spaces of residue two in an n-dimensional vector space over GF(2). A338200