Properties of the Number 5676

Five Thousand Six Hundred Seventy-Six

Basics

Value: 5675 → 5676 → 5677

Parity: even

Prime: No

Previous Prime: 5669

Next Prime: 5683

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 11 × 43

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000101100

Octal: 13054

Duodecimal: 3350

Hexadecimal: 162c

Square: 32216976

Square Root: 75.33923280734945

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 regions in an equilateral triangular figure formed by the straight line segments connecting all vertices and all points that divide the sides into n equal parts. A92867

6 times triangular numbers: a(n) = 3·n*(n+1). A28896

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

Six times hexagonal numbers: 6·n*(2·n-1). A152746

Number of mixed Husimi trees with n nodes; or labeled polygonal cacti with bridges. A314

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-1) and new values introduced in order 0..2. A275266

Expansion of 1/(1 - x¹⁰ - x¹¹ - ...). A17904

T(n,k)=Number of length-n 0..k arrays with no following elements greater than or equal to the first repeated value. A267232

Right-angled numbers with an internal digit as the vertex. A135602

a(n) = n!*LaguerreL(n, -5·n). A277419