Properties of the Number 8014

Eight Thousand Fourteen

Basics

Value: 8013 → 8014 → 8015

Parity: even

Prime: No

Previous Prime: 8011

Next Prime: 8017

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 4007

Divisors: 1, 2, 4007, 8014

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101001110

Octal: 17516

Duodecimal: 477A

Hexadecimal: 1f4e

Square: 64224196

Square Root: 89.52094726934027

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) = a(n-1) + ∑_{k=1..floor(n/4)} a(n-4k), with a(0)=1. A113439

a(n+1) = ∑_{k=0..floor(n/5)} a(k) * a(n-k). A30036

a(n) is the number of positive integers k for which ∑_i=1..j (p_i+e_i) = n, where p₁^e_1*...*p_j^e_j is the prime factorization of k. A382330

Number of partitions of n such that the least part occurs with even multiplicity. A96374

a(n)=∑_{j = 0..n} binomial(φ(n),φ(j)). A73317

Double partial sums of (n·its dyadic valuation). A90889

Numbers k such that 4^k - 5 is prime. A217348

G.f. A(x) satisfies: 1 = ∏_n>=1 (1 - xⁿ) * (1 - xⁿ⁺¹/A(x)) * (1 - x^n-2*A(x)). A268651

a(n) is the minimal positive value of m such that A325433(2m, 2n+1) > A364891(2m, 2n+1). A364893

Numbers k such that the continued fraction for sqrt(k) has period 84. A20423