Properties of the Number 83996

Eighty-Three Thousand Nine Hundred Ninety-Six

Basics

Value: 83995 → 83996 → 83997

Parity: even

Prime: No

Previous Prime: 83987

Next Prime: 84011

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 11 × 23 × 83

Divisors: 1, 2, 4, 11, 22, 23, 44, 46, 83, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000011100

Octal: 244034

Duodecimal: 40738

Hexadecimal: 1481c

Square: 7055328016

Square Root: 289.82063418604275

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..12 theta₃(q^k), where theta₃() is the Jacobi θ function. A320246

Number of partitions of n where each part i is marked with a word of length i over a binary alphabet whose letters appear in alphabetical order and both letters occur at least once in the partition. A293366

a(1) = 1; then numbers such that the concatenation a(n)a(n-1)...a(2)a(1)a(2)...a(n-1)a(n) is a prime for n>1. A83996

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A298888