Properties of the Number 8013

Eight Thousand Thirteen

Basics

Value: 8012 → 8013 → 8014

Parity: odd

Prime: No

Previous Prime: 8011

Next Prime: 8017

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 2671

Divisors: 1, 3, 2671, 8013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101001101

Octal: 17515

Duodecimal: 4779

Hexadecimal: 1f4d

Square: 64208169

Square Root: 89.51536181013849

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 primes between n·100000 and (n+1)*100000. A38825

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast neighbor modulo n and the upper left element equal to 0. A267836

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northeast neighbor modulo n and the upper left element equal to 0. A266655

Numbers m such that A000041(m) is of the form 2⁷ * k for odd k. A278784

a(n) = n³ + sum((-1)^j*a(j)); for j=1 to n-1; a(1)=1. A153286

Number of 6-cycles in the n-triangular honeycomb queen graph. A289707

Expansion of ∏_{i>0, j>0, k>0} 1/(1 - x^{i² + j² + k²}). A321433

Expansion of 1 / (1 - x - x⁴ + x⁹) in powers of x. A233522

Number of partitions p of n such that round(mean(p)) is a part of p; here, round(x) means floor(x + 1/2). A241733