Properties of the Number 5613

Five Thousand Six Hundred Thirteen

Basics

Value: 5612 → 5613 → 5614

Parity: odd

Prime: No

Previous Prime: 5591

Next Prime: 5623

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 1871

Divisors: 1, 3, 1871, 5613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111101101

Octal: 12755

Duodecimal: 32B9

Hexadecimal: 15ed

Square: 31505769

Square Root: 74.91995728776145

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

Triangle read by rows: T(n,k) is the number of n-bead necklaces with exactly k different colored beads. A87854

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303182

Triangle read by rows: T(n,k) is the number of non-isomorphic colorings of a toroidal n X k grid using exactly three colors under translational symmetry, 1 <= k <= n. A294685

G.f. of the z¹ coefficients of the FP1 in the second column of the A156921 matrix. A156928

Number of n-bead necklaces with exactly three different colored beads. A56283

a(n) = = 2*(n+1)² - 5. A271625

Total area of the shadows of the three views of the shell model of partitions, version "Tree", with n shells. A210980

G.f.: 1/(1 - x/(1 - x²/(1 - x⁵/(1 - x¹²/(1 - x²⁹/(1 - x⁷⁰/(1 -...- x^Pell(n)/(1 -...)))))))), a continued fraction. A206743

a(n) = least m such that if r and s in {1/2, 1/5, 1/8, ..., 1/(3n-1)} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k. A24837

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood. A269702