The number 20708
20708 is a composite number with 12 divisors. Its prime factorisation is × 31 × 167. Divisors (12): 1, 2, 4, 31, 62, 124, 167, 334, 668, 5177, 10354, 20708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20708 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 20708 itself that is 16924, so 20708 is deficient (16924 is less than 20708). Euler's totient φ(20708) = 9960 numbers up to 20708 share no factor with it.
- 4
The digits of 20708 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20708 = 2^{2} \times 31 \times 167 \]20708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 9960 |
| Square | 428821264 |
| Cube | 8880030734912 |
| Square root | 143.902745 (= 2√5177) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0708 × |
20708 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and eight |
| Binary (base 2) | 101000011100100 |
| Octal (base 8) | 50344 |
| Hexadecimal (base 16) | 50E4 |
| Base 3 | 1001101222 |
| As time | 20708 seconds = 5 h 45 min 8 s |
Is 20708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20708 ÷ 2 = 10354) | 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 | Yes (20708 ÷ 4 = 5177) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20708 a prime number?
No. 20708 = × 31 × 167, so it is divisible by 2.
What are the factors of 20708?
1, 2, 4, 31, 62, 124, 167, 334, 668, 5177, 10354, 20708.
What is 20708 in binary?
101000011100100 (hexadecimal 50E4, octal 50344).
What is the square root of 20708?
About 143.9027, exactly 2√5177.
Is 20708 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20708?
It is a composite number with 12 divisors.