Properties of the Number 630

Six Hundred Thirty

Basics

Value: 629 → 630 → 631

Parity: even

Prime: No

Previous Prime: 619

Next Prime: 631

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 7

Divisors: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110110

Octal: 1166

Duodecimal: 446

Hexadecimal: 276

Square: 396900

Square Root: 25.099800796022265

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Hexagonal numbers: a(n) = n*(2·n-1). A384

Numbers all of whose prime divisors are consecutive primes starting at 2. A55932

Number of degree-n irreducible polynomials over GF(2); number of n-bead necklaces with beads of 2 colors when turning over is not allowed and with primitive period n; number of binary Lyndon words of length n. A1037

a(n) = (1/n) * ∑_{d divides n} μ(n/d) * (2^d - 1). A59966

a(n) = (2n+1)!/n!². A2457

Swinging factorial, a(n) = 2^{n-(n mod 2})*∏_k=1..n k^(-1^(k+1)). A56040

Triangular matchstick numbers: a(n) = 3·n*(n+1)/2. A45943

Prime factorization representation of Stern polynomials: a(0) = 1, a(1) = 2, a(2n) = A003961(a(n)), a(2n+1) = a(n)*a(n+1). A260443