Properties of the Number 36831

Thirty-Six Thousand Eight Hundred Thirty-One

Basics

Value: 36830 → 36831 → 36832

Parity: odd

Prime: No

Previous Prime: 36821

Next Prime: 36833

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 12277

Divisors: 1, 3, 12277, 36831

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111011111

Octal: 107737

Duodecimal: 19393

Hexadecimal: 8fdf

Square: 1356522561

Square Root: 191.91404325895488

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

Numbers n such that n!8-2 is prime. A204664

Number of n X 2 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223764

Number of length 6+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248439

Expansion of 1/((1-x)(1-8x)(1-10x)). A16257

Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1. A35965

Number of partitions of n into parts not of the form 19k, 19k+2 or 19k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 8 are greater than 1. A35971

Schoenheim bound L₁(n,4,3). A36831

Number of matchings in graph C₈ X P_n. A33520