The number 3627
3627 is a composite number with 12 divisors. Its prime factorisation is × 13 × 31. Divisors (12): 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3627 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3627 is composite. Its prime factorisation is
- 3
The divisors add up to 5824; without 3627 itself that is 2197, so 3627 is deficient (2197 is less than 3627). Euler's totient φ(3627) = 2160 numbers up to 3627 share no factor with it.
- 4
The digits of 3627 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3627 = 3^{2} \times 13 \times 31 \]3627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5824 |
| Euler totient φ(n) | 2160 |
| Square | 13155129 |
| Cube | 47713652883 |
| Square root | 60.224580 (= 3√403) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.627 × |
3627 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and twenty-seven |
| Roman numerals | MMMDCXXVII |
| Binary (base 2) | 111000101011 |
| Octal (base 8) | 7053 |
| Hexadecimal (base 16) | E2B |
| Base 3 | 11222100 |
| As time | 3627 seconds = 1 h 0 min 27 s |
Is 3627 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3627 ÷ 3 = 1209) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3627 ÷ 9 = 403) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3627 a prime number?
No. 3627 = × 13 × 31, so it is divisible by 3.
What are the factors of 3627?
1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627.
What is 3627 in binary?
111000101011 (hexadecimal E2B, octal 7053).
What is the square root of 3627?
About 60.2246, exactly 3√403.
What is 3627 in Roman numerals?
MMMDCXXVII.
Is 3627 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3627?
It is a composite number with 12 divisors.