Properties of the Number 3684

Three Thousand Six Hundred Eighty-Four

Basics

Value: 3683 → 3684 → 3685

Parity: even

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 307

Divisors: 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001100100

Octal: 7144

Duodecimal: 2170

Hexadecimal: e64

Square: 13571856

Square Root: 60.69596362197407

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

Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers). A7629

Number of integer partitions of n such that the greatest part is the unique mode. A362612

Number of partitions of n in which each part occurs an odd number (or zero) times. A55922

Coordination sequence for (2,3,9) tiling of hyperbolic plane. A265059

Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213

a(n) = A014486(A122228(n)). A122229

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to four of the simple ratios of musical harmony: 5/4, 4/3, 3/2 and 8/5. A60525

Integers n such that the 'Reverse and Add!' trajectory of n joins the trajectory of 111. A70798

a(n) is the index of the smallest triangular number containing exactly n 7's. A48362

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234921