Properties of the Number 13019

Thirteen Thousand Nineteen

Basics

Value: 13018 → 13019 → 13020

Parity: odd

Prime: No

Previous Prime: 13009

Next Prime: 13033

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 47 × 277

Divisors: 1, 47, 277, 13019

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011011011

Octal: 31333

Duodecimal: 764B

Hexadecimal: 32db

Square: 169494361

Square Root: 114.10083259994205

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

Sum of smallest parts of all partitions of n. A46746

a(n) = (2·n-1)*(n² -n +2)/2. A63488

Numbers k such that numerator(Bernoulli(2·k)/(2·k)) is different from numerator(Bernoulli(2·k)/(2·k*(2·k-1))). A90495

Pseudoprimes to base 13. A20141

Let p = n-th irregular prime, A000928(n). Then a(n) = smallest value of m such that numerator(Bernoulli(2·m)/(2·m)) / numerator(Bernoulli(2·m)/(2·m*(2·m-1))) equals p. A92291

Numbers k such that 2^2k-1 == 2 (mod 2k) and such that 2^k-1 ≠ 1 (mod k). A176033

Strong pseudoprimes to base 13. A20239

Number of compositions of n where the smallest part is greater than the number of parts. A98132

Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7 and p4=8n+9 are all prime. A105653

Number of simple chord diagrams with n chords, modulo all symmetries. A278994