The number 3708
3708 is a composite number with 18 divisors. Its prime factorisation is × × 103. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236 … 3708.
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How to work it out
- 1
What is special about 3708: a Harshad number: divisible by its digit sum 18.
- 2
3708 is composite. Its prime factorisation is
- 3
The divisors add up to 9464; without 3708 itself that is 5756, so 3708 is abundant (5756 is more than 3708). Euler's totient φ(3708) = 1224 numbers up to 3708 share no factor with it.
- 4
The digits of 3708 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 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3708 = 2^{2} \times 3^{2} \times 103 \]3708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 9464 |
| Euler totient φ(n) | 1224 |
| Square | 13749264 |
| Cube | 50982270912 |
| Square root | 60.893349 (= 6√103) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 118 |
| Scientific notation | 3.708 × |
3708 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eight |
| Roman numerals | MMMDCCVIII |
| Binary (base 2) | 111001111100 |
| Octal (base 8) | 7174 |
| Hexadecimal (base 16) | E7C |
| Base 3 | 12002100 |
| As time | 3708 seconds = 1 h 1 min 48 s |
Is 3708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3708 ÷ 2 = 1854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3708 ÷ 3 = 1236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3708 ÷ 4 = 927) | 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 | Yes (3708 ÷ 6 = 618) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (3708 ÷ 9 = 412) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3708 ÷ 12 = 309) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3708 a prime number?
No. 3708 = × × 103, so it is divisible by 2.
What are the factors of 3708?
1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708.
What is 3708 in binary?
111001111100 (hexadecimal E7C, octal 7174).
What is the square root of 3708?
About 60.8933, exactly 6√103.
What is 3708 in Roman numerals?
MMMDCCVIII.
Is 3708 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3708?
3708 is a Harshad number: divisible by its digit sum 18.