The number 10707
10707 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 83. Divisors (8): 1, 3, 43, 83, 129, 249, 3569, 10707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10707 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10707 is composite. Its prime factorisation is
- 3
The divisors add up to 14784; without 10707 itself that is 4077, so 10707 is deficient (4077 is less than 10707). Euler's totient φ(10707) = 6888 numbers up to 10707 share no factor with it.
- 4
The digits of 10707 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10707 = 3 \times 43 \times 83 \]
10707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14784 |
| Euler totient φ(n) | 6888 |
| Square | 114639849 |
| Cube | 1227448863243 |
| Square root | 103.474635 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.0707 × |
10707 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and seven |
| Binary (base 2) | 10100111010011 |
| Octal (base 8) | 24723 |
| Hexadecimal (base 16) | 29D3 |
| Base 3 | 112200120 |
| As time | 10707 seconds = 2 h 58 min 27 s |
Is 10707 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 (10707 ÷ 3 = 3569) | 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 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 6) | 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 4) | 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 10707 a prime number?
No. 10707 = 3 × 43 × 83, so it is divisible by 3.
What are the factors of 10707?
1, 3, 43, 83, 129, 249, 3569, 10707.
What is 10707 in binary?
10100111010011 (hexadecimal 29D3, octal 24723).
What is the square root of 10707?
About 103.4746.
Is 10707 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10707?
It is a composite number with 8 divisors.