Properties of the Number 13014

Thirteen Thousand Fourteen

Basics

Value: 13013 → 13014 → 13015

Parity: even

Prime: No

Previous Prime: 13009

Next Prime: 13033

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 241

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 241, 482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001011010110

Octal: 31326

Duodecimal: 7646

Hexadecimal: 32d6

Square: 169364196

Square Root: 114.07892005098927

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) = 3·2*1 - 6·5*4 + 9·8*7 - 12·11·10 + 15·14·13 - 18·17·16 + ... - (up to the n-th term). A319886

G.f. satisfies: A(x) = ∑_n>=0 xⁿ * (A(x)ⁿ + 1)ⁿ. A203000

Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216349

Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216350

a(n) = n * ∑_d∣n binomial(d+n-2,n-1)/d. A343547

Same as A002880, but with orientation-reversing isomorphisms forbidden. A113205

Number of regions formed in a hexagon by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon. A367662

Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215836

Positive numbers having the same set of digits in base 6 and base 10. A37437

Expansion of f(-x³) * f(-x⁶) / (f(x) * f(-x⁴)) in powers of·where f() is a Ramanujan θ function. A261252