Properties of the Number 13016

Thirteen Thousand Sixteen

Basics

Value: 13015 → 13016 → 13017

Parity: even

Prime: No

Previous Prime: 13009

Next Prime: 13033

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 1627

Divisors: 1, 2, 4, 8, 1627, 3254, 6508, 13016

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011011000

Octal: 31330

Duodecimal: 7648

Hexadecimal: 32d8

Square: 169416256

Square Root: 114.08768557561329

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

Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists. A73520

Numerator of 2·H(n,2,1), a generalized harmonic number. See A075135. Also 2·A350669. A74599

Cycle lengths obtained by repeated application of the distance-minimizing variant of the strip bijection for the square lattice described in A367150. A367146

G.f.: (1 + x⁴ + x⁷ + 2·x⁸ + x⁹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A3405

Length of cycles obtained by repeated application of the distance-minimizing strip bijection for the square lattice (A367150), sorted by increasing minimum radius visited by any cycle of this length. A367894

Length of the closed curve through Gaussian primes described in A222298. A222300

G.f.: (1 + ∑_{i >= 0} 2ⁱ*x^{2^(i+1}-1)) / (1-x)³. A63916

Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<y. A212980

Numerators of the expectation of the process defined by randomly moving 2n balls between bins. A233470

Number of neighbor-avoiding polygons of perimeter 2n on square lattice. A121769