Properties of the Number 627

Six Hundred Twenty-Seven

Basics

Value: 626 → 627 → 628

Parity: odd

Prime: No

Previous Prime: 619

Next Prime: 631

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 19

Divisors: 1, 3, 11, 19, 33, 57, 209, 627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110011

Octal: 1163

Duodecimal: 443

Hexadecimal: 273

Square: 393129

Square Root: 25.03996805109783

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) is the number of partitions of n (the partition numbers). A41

Number of partitions of n into even parts. A35363

Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity). A6753

Number of ways to partition 2n into positive integers. A58696

Expansion of ∏_m>=1 (1 + q^m)^m; number of partitions of n into distinct parts, where n different parts of size n are available. A26007

a(n) = n² + 2. A59100

a(n) = n*(n+5)/2. A55998

In the ranked poset of integer partitions ordered by refinement, a(n) is the size of the lower ideal generated by the partition with Heinz number n. A300383

Number of twice-partitions whose domain is the integer partition with Heinz number n. A299200

Number of partitions of floor(3n/2) into n parts each from {1,2,...,n}. A119620