The number 3707
3707 is a composite number with 4 divisors. Its prime factorisation is 11 × 337. Divisors (4): 1, 11, 337, 3707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3707: a semiprime: 11 × 337, the product of two primes.
- 2
3707 is composite. Its prime factorisation is
- 3
The divisors add up to 4056; without 3707 itself that is 349, so 3707 is deficient (349 is less than 3707). Euler's totient φ(3707) = 3360 numbers up to 3707 share no factor with it.
- 4
The digits of 3707 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3707 = 11 \times 337 \]
3707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4056 |
| Euler totient φ(n) | 3360 |
| Square | 13741849 |
| Cube | 50941034243 |
| Square root | 60.885138 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.707 × |
3707 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and seven |
| Roman numerals | MMMDCCVII |
| Binary (base 2) | 111001111011 |
| Octal (base 8) | 7173 |
| Hexadecimal (base 16) | E7B |
| Base 3 | 12002022 |
| As time | 3707 seconds = 1 h 1 min 47 s |
Is 3707 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | 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 | Yes (3707 ÷ 11 = 337) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3707 a prime number?
No. 3707 = 11 × 337, so it is divisible by 11.
What are the factors of 3707?
1, 11, 337, 3707.
What is 3707 in binary?
111001111011 (hexadecimal E7B, octal 7173).
What is the square root of 3707?
About 60.8851.
What is 3707 in Roman numerals?
MMMDCCVII.
Is 3707 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3707?
3707 is a semiprime: 11 × 337, the product of two primes.