The number 3668
3668 is a composite number with 12 divisors. Its prime factorisation is × 7 × 131. Divisors (12): 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3668 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3668 is composite. Its prime factorisation is
- 3
The divisors add up to 7392; without 3668 itself that is 3724, so 3668 is abundant (3724 is more than 3668). Euler's totient φ(3668) = 1560 numbers up to 3668 share no factor with it.
- 4
The digits of 3668 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3668 = 2^{2} \times 7 \times 131 \]3668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7392 |
| Euler totient φ(n) | 1560 |
| Square | 13454224 |
| Cube | 49350093632 |
| Square root | 60.564016 (= 2√917) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.668 × |
3668 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and sixty-eight |
| Roman numerals | MMMDCLXVIII |
| Binary (base 2) | 111001010100 |
| Octal (base 8) | 7124 |
| Hexadecimal (base 16) | E54 |
| Base 3 | 12000212 |
| As time | 3668 seconds = 1 h 1 min 8 s |
Is 3668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3668 ÷ 2 = 1834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3668 ÷ 4 = 917) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3668 ÷ 7 = 524) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3668 a prime number?
No. 3668 = × 7 × 131, so it is divisible by 2.
What are the factors of 3668?
1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668.
What is 3668 in binary?
111001010100 (hexadecimal E54, octal 7124).
What is the square root of 3668?
About 60.5640, exactly 2√917.
What is 3668 in Roman numerals?
MMMDCLXVIII.
Is 3668 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3668?
It is a composite number with 12 divisors.