The number 2708
2708 is a composite number with 6 divisors. Its prime factorisation is × 677. Divisors (6): 1, 2, 4, 677, 1354, 2708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2708 is composite. Its prime factorisation is
- 3
The divisors add up to 4746; without 2708 itself that is 2038, so 2708 is deficient (2038 is less than 2708). Euler's totient φ(2708) = 1352 numbers up to 2708 share no factor with it.
- 4
The digits of 2708 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2708 = 2^{2} \times 677 \]2708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4746 |
| Euler totient φ(n) | 1352 |
| Square | 7333264 |
| Cube | 19858478912 |
| Square root | 52.038447 (= 2√677) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 53 |
| Scientific notation | 2.708 × |
2708 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and eight |
| Roman numerals | MMDCCVIII |
| Binary (base 2) | 101010010100 |
| Octal (base 8) | 5224 |
| Hexadecimal (base 16) | A94 |
| Base 3 | 10201022 |
| As time | 2708 seconds = 45 min 8 s |
Is 2708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2708 ÷ 2 = 1354) | 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 (2708 ÷ 4 = 677) | 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 6) | 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 2) | 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 2708 a prime number?
No. 2708 = × 677, so it is divisible by 2.
What are the factors of 2708?
1, 2, 4, 677, 1354, 2708.
What is 2708 in binary?
101010010100 (hexadecimal A94, octal 5224).
What is the square root of 2708?
About 52.0384, exactly 2√677.
What is 2708 in Roman numerals?
MMDCCVIII.
Is 2708 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2708?
It is a composite number with 6 divisors.