Properties of the Number 16013

Sixteen Thousand Thirteen

Basics

Value: 16012 → 16013 → 16014

Parity: odd

Prime: No

Previous Prime: 16007

Next Prime: 16033

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 67 × 239

Divisors: 1, 67, 239, 16013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111010001101

Octal: 37215

Duodecimal: 9325

Hexadecimal: 3e8d

Square: 256416169

Square Root: 126.54248298496438

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

Sum of the fourth largest parts of the partitions of n into 10 squarefree parts. A326634

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

McKay-Thompson series of class 30D for the Monster group with a(0) = 2. A205962

Numerators of the partial sums of the reciprocals of the number of abelian groups function (A000688). A379359

McKay-Thompson series of class 30D for Monster. A58615

Numerators of the partial sums of the reciprocals of the Dedekind ψ function (A001615). A357818

Numbers k such that 161·2^k+1 is prime. A32457

Expansion of (1-x)^-1/(1+2·x+2·x³). A77927

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, 1), (1, 0, -1)}. A150103