Properties of the Number 3680

Three Thousand Six Hundred Eighty

Basics

Value: 3679 → 3680 → 3681

Parity: even

Prime: No

Previous Prime: 3677

Next Prime: 3691

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 5 × 23

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 111001100000

Octal: 7140

Duodecimal: 2168

Hexadecimal: e60

Square: 13542400

Square Root: 60.663003552412405

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

Convolution of A000203 with itself. A385

Number of ways of writing n as a sum of 5 squares. A132

Square array, read by antidiagonals, where row n equals the coordination sequence of B_n lattice, for n >= 0. A108998

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250877

Coefficient of x³ⁿ/(3n)! in the Maclaurin expansion of the Dixon elliptic function cm(x,0). A104134

The arithmetic mean of (21·k + 8)*binomial(2·k,k)³ (k=0..n-1). A173774

Number of numbers whose base-4/3 expansion (see A024631) has n digits. A245356

Number A(n,k) of multisets of nonempty words with a total of n letters over k-ary alphabet such that within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; square array A(n,k), n>=0, k>=0, read by antidiagonals. A292712

a(n+1) = a(n)+floor(a(n)/3), a(1) = 3. A100585

Products of the 5th power of a prime and 2 distinct primes (p⁵*q·r). A179667