Properties of the Number 1683

One Thousand Six Hundred Eighty-Three

Basics

Value: 1682 → 1683 → 1684

Parity: odd

Prime: No

Previous Prime: 1669

Next Prime: 1693

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 17

Divisors: 1, 3, 9, 11, 17, 33, 51, 99, 153, 187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010010011

Octal: 3223

Duodecimal: B83

Hexadecimal: 693

Square: 2832489

Square Root: 41.02438299353203

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

Central Delannoy numbers: a(n) = ∑_k=0..n C(n,k)*C(n+k,k). A1850

Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals. A8288

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

a(n) = 2·n² + 1. A58331

a(n) = n² + 2. A59100

Number A(n,k) of lattice paths from {n}^k to {0}^k using steps that decrement one or more components by one; square array A(n,k), n>=0, k>=0, read by antidiagonals. A262809

Expansion of g.f. (1 + x + 2·x²)/((1 - x)²*(1 - x³)). A969

Vertex number of a square spiral in which the length of the first two edges are the legs of the primitive Pythagorean triple [3, 4, 5]. The edges of the spiral have length A195019. A195020

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159

a(n) = n*(7·n - 1)/2. A22264