Properties of the Number 83008

Eighty-Three Thousand Eight

Basics

Value: 83007 → 83008 → 83009

Parity: even

Prime: No

Previous Prime: 83003

Next Prime: 83009

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 1297

Divisors: 1, 2, 4, 8, 16, 32, 64, 1297, 2594, 5188

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010001000000

Octal: 242100

Duodecimal: 40054

Hexadecimal: 14440

Square: 6890328064

Square Root: 288.1110896859057

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

Sorted positions of first appearances in A367905. A367911

Number of n-bit legal binary words with maximal set of 1s. A253412

a(n) = 81·n² + 2·n. A177099

Structured snub cubic numbers. A100150

a(n) = ∑_k=0..n-1 4^k*B(k)*C(n,k) where B(k) is the k-th Bernoulli number and C(n,k) = binomial(n,k). A83008

a(2·n) equals coefficient of xⁿ in A(x)ⁿ⁺¹ and a(2·n+1) equals coefficient of xⁿ in A(x)ⁿ⁺², for n>=0. A94557