The number 39708
39708 is a composite number with 18 divisors. Its prime factorisation is × × 1103. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1103, 2206, 3309, 4412, 6618, 9927, 13236 … 39708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39708: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
39708 is composite. Its prime factorisation is
- 3
The divisors add up to 100464; without 39708 itself that is 60756, so 39708 is abundant (60756 is more than 39708). Euler's totient φ(39708) = 13224 numbers up to 39708 share no factor with it.
- 4
The digits of 39708 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39708 = 2^{2} \times 3^{2} \times 1103 \]39708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 100464 |
| Euler totient φ(n) | 13224 |
| Square | 1576725264 |
| Cube | 62608606782912 |
| Square root | 199.268663 (= 6√1103) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9708 × |
39708 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand seven hundred and eight |
| Binary (base 2) | 1001101100011100 |
| Octal (base 8) | 115434 |
| Hexadecimal (base 16) | 9B1C |
| Base 3 | 2000110200 |
| As time | 39708 seconds = 11 h 1 min 48 s |
Is 39708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39708 ÷ 2 = 19854) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (39708 ÷ 3 = 13236) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39708 ÷ 4 = 9927) | 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 (39708 ÷ 6 = 6618) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (39708 ÷ 9 = 4412) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (39708 ÷ 12 = 3309) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39708 a prime number?
No. 39708 = × × 1103, so it is divisible by 2.
What are the factors of 39708?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1103, 2206, 3309, 4412, 6618, 9927, 13236, 19854, 39708.
What is 39708 in binary?
1001101100011100 (hexadecimal 9B1C, octal 115434).
What is the square root of 39708?
About 199.2687, exactly 6√1103.
Is 39708 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 39708?
39708 is a happy number: repeatedly adding the squares of its digits reaches 1.