Properties of the Number 13046

Thirteen Thousand Forty-Six

Basics

Value: 13045 → 13046 → 13047

Parity: even

Prime: No

Previous Prime: 13043

Next Prime: 13049

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 593

Divisors: 1, 2, 11, 22, 593, 1186, 6523, 13046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011110110

Octal: 31366

Duodecimal: 7672

Hexadecimal: 32f6

Square: 170198116

Square Root: 114.21908772179893

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 ways to split an integer partition of n into contiguous subsequences all having different sums. A336131

Number of partitions p of n such that 2*(number of even numbers in p) <= (number of odd numbers in p). A241652

G.f.: x²/((1-x²)²*∏_i>0(1-xⁱ)). A103650

G.f. satisfies: A(x)^1/2 = x + A(x) + A(A(x)) + A(A(A(x))) + A(A(A(A(x)))) +... A141201

Numbers whose square is of the form k + reversal of digits of k, for some k. A356648

Denominators of continued fraction convergents to sqrt(501). A41957

Expansion of q^-3/4 * η(q)² * η(q²)⁴ * η(q⁸)⁴ / η(q⁴)⁶ in powers of q. A135467

a(1)=1. For m >= 0 and 1 <= k <= 2^m, a(2^m +k) = a(k) + ∑_j=1..2^m a(j). A139485

Numbers n>1 such that the difference between log(n) and its best rational approximation as x/y with y<=n produces a new minimum of abs(log(n)-x/y). x/y is provided as A306976/A306977. A306975

Expansion of 1/(1-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹). A17842