Properties of the Number 36606

Thirty-Six Thousand Six Hundred Six

Basics

Value: 36605 → 36606 → 36607

Parity: even

Prime: No

Previous Prime: 36599

Next Prime: 36607

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 6101

Divisors: 1, 2, 3, 6, 6101, 12202, 18303, 36606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111011111110

Octal: 107376

Duodecimal: 19226

Hexadecimal: 8efe

Square: 1339999236

Square Root: 191.32694530567304

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) = 36·n² - 8·n - 2 (n >=1). A304834

Number of simple moves of the smallest disk in the solution to the Towers of Hanoi exchanging disks puzzle with 3 pegs and n disks. A341582

a(n) = ∑_d∣n (-1)^ω(n/d) * φ(rad(n/d)) * p(d), where p = A000041 (partition numbers). A333697

Triangle of coefficients of generating function of 4-ary rooted trees of height at most n. A36606