Properties of the Number 83640

Eighty-Three Thousand Six Hundred Forty

Basics

Value: 83639 → 83640 → 83641

Parity: even

Prime: No

Previous Prime: 83639

Next Prime: 83641

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 17 × 41

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011010111000

Octal: 243270

Duodecimal: 404A0

Hexadecimal: 146b8

Square: 6995649600

Square Root: 289.20580907028824

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

Number of collinear point-triples in an n X n grid. A938

Number of prime powers (p², p³, ...) <= 2ⁿ. A36386

Even legs of Pythagorean triangles whose other leg and hypotenuse are both prime. A67755

Numbers that define integer Heronian triangles [prime(a(n)), prime(a(n)+1), A068965(n)] with area A068966(n). A68964

Number of acute isosceles triangles on an n X n grid. A190317

a(n) is a non-palindromic composite located between twin primes whose reverse, which is less than it, is also located between twin primes. A103741

Low-temperature partition function expansion for hexagonal lattice (Potts model, q=3). A57385

Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k². A80395

Starting positions of strings of six 8's in the decimal expansion of π. A83640

The number of steps before reaching 1 or a repeated value, or -1 if neither occur, when starting at k = n and iterating k -> k/Lpf(k) - 1 if ω(k) is even, else k -> k·Lpf(k) + 1, where Lpf(k) (A020639) is the least prime dividing k and ω(k) (A001222) is the number of prime divisors of k counted with multiplicity. A365477