The number 1708
1708 is a composite number with 12 divisors. Its prime factorisation is × 7 × 61. Divisors (12): 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1708 is composite. Its prime factorisation is
- 3
The divisors add up to 3472; without 1708 itself that is 1764, so 1708 is abundant (1764 is more than 1708). Euler's totient φ(1708) = 720 numbers up to 1708 share no factor with it.
- 4
The digits of 1708 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1708 = 2^{2} \times 7 \times 61 \]1708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3472 |
| Euler totient φ(n) | 720 |
| Square | 2917264 |
| Cube | 4982686912 |
| Square root | 41.327957 (= 2√427) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.708 × |
1708 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and eight |
| Roman numerals | MDCCVIII |
| Binary (base 2) | 11010101100 |
| Octal (base 8) | 3254 |
| Hexadecimal (base 16) | 6AC |
| Base 3 | 2100021 |
| As time | 1708 seconds = 28 min 28 s |
Is 1708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1708 ÷ 2 = 854) | 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 (1708 ÷ 4 = 427) | 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 | Yes (1708 ÷ 7 = 244) | 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 3) | 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 1708 a prime number?
No. 1708 = × 7 × 61, so it is divisible by 2.
What are the factors of 1708?
1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708.
What is 1708 in binary?
11010101100 (hexadecimal 6AC, octal 3254).
What is the square root of 1708?
About 41.3280, exactly 2√427.
What is 1708 in Roman numerals?
MDCCVIII.
Is 1708 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 1708?
It is a composite number with 12 divisors.