The number 97708
97708 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1879. Divisors (12): 1, 2, 4, 13, 26, 52, 1879, 3758, 7516, 24427, 48854, 97708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97708 is composite. Its prime factorisation is
- 3
The divisors add up to 184240; without 97708 itself that is 86532, so 97708 is deficient (86532 is less than 97708). Euler's totient φ(97708) = 45072 numbers up to 97708 share no factor with it.
- 4
The digits of 97708 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97708 = 2^{2} \times 13 \times 1879 \]97708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 184240 |
| Euler totient φ(n) | 45072 |
| Square | 9546853264 |
| Cube | 932803938718912 |
| Square root | 312.582789 (= 2√24427) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7708 × |
97708 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and eight |
| Binary (base 2) | 10111110110101100 |
| Octal (base 8) | 276654 |
| Hexadecimal (base 16) | 17DAC |
| Base 3 | 11222000211 |
| As time | 97708 seconds = 27 h 8 min 28 s |
Is 97708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97708 ÷ 2 = 48854) | 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 (97708 ÷ 4 = 24427) | 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 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97708 a prime number?
No. 97708 = × 13 × 1879, so it is divisible by 2.
What are the factors of 97708?
1, 2, 4, 13, 26, 52, 1879, 3758, 7516, 24427, 48854, 97708.
What is 97708 in binary?
10111110110101100 (hexadecimal 17DAC, octal 276654).
What is the square root of 97708?
About 312.5828, exactly 2√24427.
Is 97708 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 97708?
It is a composite number with 12 divisors.