Properties of the Number 36621

Thirty-Six Thousand Six Hundred Twenty-One

Basics

Value: 36620 → 36621 → 36622

Parity: odd

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 313

Divisors: 1, 3, 9, 13, 39, 117, 313, 939, 2817, 4069

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100001101

Octal: 107415

Duodecimal: 19239

Hexadecimal: 8f0d

Square: 1341097641

Square Root: 191.36614120580475

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 tilings of an equilateral triangle of side length n with unit triangles (of side length 1) and exactly two unit "lozenges" or "diamonds" (also of side length 1). A326367

Number of partitions p of n such that the number of parts is a part or max(p) - min(p) is a part. A241386

Number of partitions of n² into at most 10 square parts. A255214

Numbers k that divide 7^k + 5^k. A45596

Number of length 2+3 0..n arrays with some disjoint pairs in every consecutive four terms having the same sum. A247534

Numbers n such that n | 9ⁿ + 8ⁿ + 7ⁿ + 6ⁿ + 5ⁿ + 4ⁿ. A57260

a(1) = 1, a(2) = 2; for n > 2, a(n) = {a(n-1) +a(n+1)}/n or a(n+1) = n·a(n)-a(n-1). A74189

E.g.f. A(x) satisfies: A(x) = ∑_n>=0 xⁿ/n! * ∏_k=1..n (n+1-k) + k·A(x). A316701

Number of 6-ary rooted trees with n nodes and height at most 4. A36621