Properties of the Number 8065

Eight Thousand Sixty-Five

Basics

Value: 8064 → 8065 → 8066

Parity: odd

Prime: No

Previous Prime: 8059

Next Prime: 8069

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 1613

Divisors: 1, 5, 1613, 8065

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110000001

Octal: 17601

Duodecimal: 4801

Hexadecimal: 1f81

Square: 65044225

Square Root: 89.80534505250787

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

a(n) = 8·n² - 4·n + 1. A80856

a(n) = 2²ⁿ⁺¹ - 2ⁿ⁺¹ + 1. A92440

Number of integer compositions of n that are not the first sums of any composition. A391680

a(n) = (prime(n)² + 1)/2. A66885

Triangle T(n,k), n>=1, 1<=k<=n, where the e.g.f. for column k satisfies: A_k(x) = exp(x·A_k(x^k/k!)). A143565

Values of the genus g for which there exists a compact Riemann surface of genus g admitting an automorphism group of order 84(g-1), the maximum possible, also known as the Hurwitz bound. A179982

a(n) = ∑_k=0..n n^k * binomial(n,k)³. A241247

Table of coefficients in row functions R(n,x) such that [x^k] exp( kⁿ * x ) / R(n,x) = 0 for k>=1 and n>=1. A304320

Expansion of (1/2)*(exp(2·x)-1)*exp(exp(x)-1). A59606

Least k such that prime(n)² divides binomial(2k,k). A110494