Properties of the Number 5809

Five Thousand Eight Hundred Nine

Basics

Value: 5808 → 5809 → 5810

Parity: odd

Prime: No

Previous Prime: 5807

Next Prime: 5813

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 37 × 157

Divisors: 1, 37, 157, 5809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010110001

Octal: 13261

Duodecimal: 3441

Hexadecimal: 16b1

Square: 33744481

Square Root: 76.21679604916491

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) = n·prime(n). A33286

Third spoke of a hexagonal spiral. A56107

The number of n-full sets, F(n). A188431

Least k such that n^k mod k = (n-1)², or 0 if no such k exists. A128150

Number of interior intersection points made by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A91908

a(n) = (11·n² - 11·n + 2)/2. A69125

a(1)..a(4) = 0,0,0,1; thereafter a(n) = a(n-2)+a(n-3)+2*(d(n-3)+d(n-4)) where d(n) = A238824(n). A238825

Semiprimes in A056107. A113525

Array read by antidiagonals: A(n,k) is the number of unsensed planar maps with n vertices and k faces, n >= 1, k >= 1. A277741

T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-k-1. A211930