Properties of the Number 37631

Thirty-Seven Thousand Six Hundred Thirty-One

Basics

Value: 37630 → 37631 → 37632

Parity: odd

Prime: No

Previous Prime: 37619

Next Prime: 37633

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 ² × 311

Divisors: 1, 11, 121, 311, 3421, 37631

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001011111111

Octal: 111377

Duodecimal: 1993B

Hexadecimal: 92ff

Square: 1416092161

Square Root: 193.98711297403239

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 partitions p of n such that (number of numbers of the form 5k + 3 in p) is a part of p. A241552

a(n) = 48·n² - 1. A65532

Prime(n)*prime(2·n)+prime(n)+prime(2·n). A72672

a(n) = (A230624(n)-2)/4. A350607

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 35 ones. A31803

Class numbers of fields in A085715. A85716

Numbers m such that m*(prime(m)+1) is a square. A73614

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 0, 0)}. A148112

Positions of records in A289014. A289015

Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 2,3,0. A37631