Properties of the Number 23013

Twenty-Three Thousand Thirteen

Basics

Value: 23012 → 23013 → 23014

Parity: odd

Prime: No

Previous Prime: 23011

Next Prime: 23017

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2557

Divisors: 1, 3, 9, 2557, 7671, 23013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100111100101

Octal: 54745

Duodecimal: 11399

Hexadecimal: 59e5

Square: 529598169

Square Root: 151.7003625572464

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+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10. A154496

Expansion of ∏_k>=1 1/(1 - x^k)^sigma₁(k-k), where sigma₁(k) = sum of divisors of k (A000203). A318784

a(n) = ∑_{k=0..floor(n/3)} binomial(n+2,3·k+2) * Catalan(k). A360045

a(n) are values of k that yield "record-breaking" integer sequence lengths for the recursion: b(i) = 3*(b(i-1) + b(i-2))/2, with b(0) = 1 and b(1) = k. A249861

Number of partitions of n into parts of 15 kinds. A23013

a(1) = 15; for n > 1, a(n)² is the smallest square that begins with a(n-1) in base 6. A336251