The number 97488
97488 is a composite number with 30 divisors. Its prime factorisation is × × 677. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 677 … 97488.
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How to work it out
- 1
What is special about 97488: a Harshad number: divisible by its digit sum 36.
- 2
97488 is composite. Its prime factorisation is
- 3
The divisors add up to 273234; without 97488 itself that is 175746, so 97488 is abundant (175746 is more than 97488). Euler's totient φ(97488) = 32448 numbers up to 97488 share no factor with it.
- 4
The digits of 97488 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97488 = 2^{4} \times 3^{2} \times 677 \]97488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 273234 |
| Euler totient φ(n) | 32448 |
| Square | 9503910144 |
| Cube | 926517192118272 |
| Square root | 312.230684 (= 12√677) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7488 × |
97488 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 10111110011010000 |
| Octal (base 8) | 276320 |
| Hexadecimal (base 16) | 17CD0 |
| Base 3 | 11221201200 |
| As time | 97488 seconds = 27 h 4 min 48 s |
Is 97488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97488 ÷ 2 = 48744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97488 ÷ 3 = 32496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97488 ÷ 4 = 24372) | 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 | Yes (97488 ÷ 6 = 16248) | 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 | Yes (97488 ÷ 8 = 12186) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97488 ÷ 9 = 10832) | 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 | Yes (97488 ÷ 12 = 8124) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97488 a prime number?
No. 97488 = × × 677, so it is divisible by 2.
What are the factors of 97488?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 677, 1354, 2031, 2708, 4062, 5416, 6093, 8124, 10832, 12186, 16248, 24372, 32496, 48744, 97488.
What is 97488 in binary?
10111110011010000 (hexadecimal 17CD0, octal 276320).
What is the square root of 97488?
About 312.2307, exactly 12√677.
Is 97488 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 97488?
97488 is a Harshad number: divisible by its digit sum 36.