Properties of the Number 34666

Thirty-Four Thousand Six Hundred Sixty-Six

Basics

Value: 34665 → 34666 → 34667

Parity: even

Prime: No

Previous Prime: 34651

Next Prime: 34667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 17333

Divisors: 1, 2, 17333, 34666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000011101101010

Octal: 103552

Duodecimal: 1808A

Hexadecimal: 876a

Square: 1201731556

Square Root: 186.18807695446023

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·n⁴ - 4·n³ + n² + 4·n + 4)/4. A366478

G.f. A(x) satisfies: A(x) = 1 + x·A(x)/(1 - x·A(x) - 2·x²*A(x)²). A307413

O.g.f. A(x) satisfies: 0 = ∑_n>=1 (b(n) - A(x))ⁿ * (2·x)ⁿ / n, where b(n) = 1 if n is odd or b(n) = 2 if n is even. A326564

G.f. A(x) satisfies A(x) = 1 / ((1 + x) * (1 - x * (1 + x + x²) * A(x³))). A367717

Numbers k such that 195·2^k+1 is prime. A32474

G.f. A(x) satisfies: ∑_n>=0 xⁿ*A(x)^2·n/(1 - x·A(x)ⁿ) = ∑_n>=0 xⁿ*A(x)ⁿ/(1 - x·A(x)^2·n+1). A340894

Rectangular table of coefficients T(k,n) in row functions R(k,x) = ∑_n>=0 T(k,n)*xⁿ that satisfy the condition: ∑_n>=0 xⁿ/(1 - x·R(k,x)^n+k) = ∑_n>=0 xⁿ*R(k,x)ⁿ/(1 - x·R(k,x)^k·n+k-1), for k >= 0, read here by antidiagonals. A340940

Sum of n-th powers of divisors of 36. A34666