Properties of the Number 683

Six Hundred Eighty-Three

Basics

Value: 682 → 683 → 684

Parity: odd

Prime: Yes

Previous Prime: 677

Next Prime: 691

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 683

Divisors: 1, 683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010101011

Octal: 1253

Duodecimal: 48B

Hexadecimal: 2ab

Square: 466489

Square Root: 26.13426869074396

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

Jacobsthal sequence (or Jacobsthal numbers): a(n) = a(n-1) + 2·a(n-2), with a(0) = 0, a(1) = 1; also a(n) = nearest integer to 2ⁿ/3. A1045

Primes of the form x² + xy + 2y², with·and y nonnegative. A106856

Toothpick sequence (see Comments lines for definition). A139250

Sophie Germain primes p: 2p+1 is also prime. A5384

a(n) = (2^{2·n + 1} + 1)/3. A7583

Indices k such that (1/3)*(prime(k)+prime(k+1)+prime(k+2)) is a prime. A64113

Irregular primes: primes p such that at least one of the numerators of the Bernoulli numbers B₂, B₄, ..., B_p-3 (A000367) is divisible by p. A928

Primes of form 10n+3. A30431

a(n) = ∑_k=1..n n/gcd(n,k). A57660

a(n) = C(n,2) + C(n,5) + ... + C(n, 3·floor(n/3)+2). A24495