Properties of the Number 35580

Thirty-Five Thousand Five Hundred Eighty

Basics

Value: 35579 → 35580 → 35581

Parity: even

Prime: No

Previous Prime: 35573

Next Prime: 35591

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 × 593

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101011111100

Octal: 105374

Duodecimal: 18710

Hexadecimal: 8afc

Square: 1265936400

Square Root: 188.62661530123472

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 reduced words of length n in the Weyl group D₁₅. A162321

Maximum coefficient of (1 - x)³ * (1 - x²)³ * (1 - x³)³ * ... * (1 - xⁿ)³. A369711

Maximum of the absolute value of the coefficients of (1 - x)³ * (1 - x²)³ * (1 - x³)³ * ... * (1 - xⁿ)³. A369983

Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 18 (most significant digit on right). A61947

Number of reduced words of length n in the Weyl group B₁₅. A161875

a(n) = T(3n,n), where T = Delannoy triangle (A008288). A26001

Number of partitions of n with equal number of parts congruent to each of 1, 3 and 4 (mod 5). A35580