Properties of the Number 3683

Three Thousand Six Hundred Eighty-Three

Basics

Value: 3682 → 3683 → 3684

Parity: odd

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 29 × 127

Divisors: 1, 29, 127, 3683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001100011

Octal: 7143

Duodecimal: 216B

Hexadecimal: e63

Square: 13564489

Square Root: 60.687725282795036

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

Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1. A125

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

Convolutory inverse of signed lower Wythoff sequence. A78140

Sum of quadratic residues of (n-th prime == 3 mod 4). A282035

Sum of the quadratic residues of prime(n). A76409

Number of integer partitions of n containing all prime indices of their parts. A324753

Fermat pseudoprimes to base 4. A20136

Numbers k > 1 such that, in base 4, k and k² contain the same digits in the same proportion. A61658

a(n) = A031287(n) + A031288(n) + A031289(n) + A031290(n) + A031291(n) + A031292(n) + A031293(n) + A031294(n) + A031295(n) + A031296(n). A193428

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302528