The number 97088
97088 is a composite number with 28 divisors. Its prime factorisation is × 37 × 41. Divisors (28): 1, 2, 4, 8, 16, 32, 37, 41, 64, 74, 82, 148, 164, 296, 328, 592 … 97088.
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How to work it out
- 1
What is special about 97088: a Harshad number: divisible by its digit sum 32.
- 2
97088 is composite. Its prime factorisation is
- 3
The divisors add up to 202692; without 97088 itself that is 105604, so 97088 is abundant (105604 is more than 97088). Euler's totient φ(97088) = 46080 numbers up to 97088 share no factor with it.
- 4
The digits of 97088 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97088 = 2^{6} \times 37 \times 41 \]97088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 202692 |
| Euler totient φ(n) | 46080 |
| Square | 9426079744 |
| Cube | 915159230185472 |
| Square root | 311.589474 (= 8√1517) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7088 × |
97088 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and eighty-eight |
| Binary (base 2) | 10111101101000000 |
| Octal (base 8) | 275500 |
| Hexadecimal (base 16) | 17B40 |
| Base 3 | 11221011212 |
| As time | 97088 seconds = 26 h 58 min 8 s |
Is 97088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97088 ÷ 2 = 48544) | 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 (97088 ÷ 4 = 24272) | 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 | Yes (97088 ÷ 8 = 12136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 97088 a prime number?
No. 97088 = × 37 × 41, so it is divisible by 2.
What are the factors of 97088?
1, 2, 4, 8, 16, 32, 37, 41, 64, 74, 82, 148, 164, 296, 328, 592, 656, 1184, 1312, 1517, 2368, 2624, 3034, 6068, 12136, 24272, 48544, 97088.
What is 97088 in binary?
10111101101000000 (hexadecimal 17B40, octal 275500).
What is the square root of 97088?
About 311.5895, exactly 8√1517.
Is 97088 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97088?
97088 is a Harshad number: divisible by its digit sum 32.