The number 97508
97508 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1283. Divisors (12): 1, 2, 4, 19, 38, 76, 1283, 2566, 5132, 24377, 48754, 97508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97508: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97508 is composite. Its prime factorisation is
- 3
The divisors add up to 179760; without 97508 itself that is 82252, so 97508 is deficient (82252 is less than 97508). Euler's totient φ(97508) = 46152 numbers up to 97508 share no factor with it.
- 4
The digits of 97508 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97508 = 2^{2} \times 19 \times 1283 \]97508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 179760 |
| Euler totient φ(n) | 46152 |
| Square | 9507810064 |
| Cube | 927087543720512 |
| Square root | 312.262710 (= 2√24377) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7508 × |
97508 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and eight |
| Binary (base 2) | 10111110011100100 |
| Octal (base 8) | 276344 |
| Hexadecimal (base 16) | 17CE4 |
| Base 3 | 11221202102 |
| As time | 97508 seconds = 27 h 5 min 8 s |
Is 97508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97508 ÷ 2 = 48754) | 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 (97508 ÷ 4 = 24377) | 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 5) | 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 2) | 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 4) | 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 97508 a prime number?
No. 97508 = × 19 × 1283, so it is divisible by 2.
What are the factors of 97508?
1, 2, 4, 19, 38, 76, 1283, 2566, 5132, 24377, 48754, 97508.
What is 97508 in binary?
10111110011100100 (hexadecimal 17CE4, octal 276344).
What is the square root of 97508?
About 312.2627, exactly 2√24377.
Is 97508 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97508?
97508 is a happy number: repeatedly adding the squares of its digits reaches 1.