The number 10708
10708 is a composite number with 6 divisors. Its prime factorisation is × 2677. Divisors (6): 1, 2, 4, 2677, 5354, 10708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10708 is composite. Its prime factorisation is
- 3
The divisors add up to 18746; without 10708 itself that is 8038, so 10708 is deficient (8038 is less than 10708). Euler's totient φ(10708) = 5352 numbers up to 10708 share no factor with it.
- 4
The digits of 10708 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10708 = 2^{2} \times 2677 \]10708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18746 |
| Euler totient φ(n) | 5352 |
| Square | 114661264 |
| Cube | 1227792814912 |
| Square root | 103.479467 (= 2√2677) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 73 |
| Scientific notation | 1.0708 × |
10708 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and eight |
| Binary (base 2) | 10100111010100 |
| Octal (base 8) | 24724 |
| Hexadecimal (base 16) | 29D4 |
| Base 3 | 112200121 |
| As time | 10708 seconds = 2 h 58 min 28 s |
Is 10708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10708 ÷ 2 = 5354) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10708 ÷ 4 = 2677) | 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 4) | 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 | No (remainder 7) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10708 a prime number?
No. 10708 = × 2677, so it is divisible by 2.
What are the factors of 10708?
1, 2, 4, 2677, 5354, 10708.
What is 10708 in binary?
10100111010100 (hexadecimal 29D4, octal 24724).
What is the square root of 10708?
About 103.4795, exactly 2√2677.
Is 10708 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10708?
It is a composite number with 6 divisors.