Properties of the Number 32689

Thirty-Two Thousand Six Hundred Eighty-Nine

Basics

Value: 32688 → 32689 → 32690

Parity: odd

Prime: No

Previous Prime: 32687

Next Prime: 32693

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 97 × 337

Divisors: 1, 97, 337, 32689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111110110001

Octal: 77661

Duodecimal: 16B01

Hexadecimal: 7fb1

Square: 1068570721

Square Root: 180.8009955724802

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) = a(n-1) + 3·a(n-2) for n > 1, a(0) = a(1) = 1. A6130

T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..3 nXk array. A218638

a(n) = (-1)*a(n-1) + 3·a(n-2) with a(1)=-1 and a(2)=1. A140167

a(n) = 3·a(n-2) - a(n-1) for n > 1, a(0) = 0, a(1) = 1. A182228

Expansion of 1/(1 - 7·x + 9·x²). A99459

Expansion of g.f. x²/(1 - 2·x - 25·x²). A123004

a(n) = ∑_{k=0..floor(n/2)} binomial(n-k, k-1) * 3^k-1. A99579

Strong pseudoprimes to base 54. A20280

Strong pseudoprimes to base 65. A20291

Numbers m such that the Stern polynomial B(m,x) is irreducible and self-reciprocal. A186893