The number 97248
97248 is a composite number with 24 divisors. Its prime factorisation is × 3 × 1013. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1013, 2026, 3039, 4052 … 97248.
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How to work it out
- 1
97248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97248 is composite. Its prime factorisation is
- 3
The divisors add up to 255528; without 97248 itself that is 158280, so 97248 is abundant (158280 is more than 97248). Euler's totient φ(97248) = 32384 numbers up to 97248 share no factor with it.
- 4
The digits of 97248 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97248 = 2^{5} \times 3 \times 1013 \]97248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 255528 |
| Euler totient φ(n) | 32384 |
| Square | 9457173504 |
| Cube | 919691208916992 |
| Square root | 311.846116 (= 4√6078) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7248 × |
97248 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and forty-eight |
| Binary (base 2) | 10111101111100000 |
| Octal (base 8) | 275740 |
| Hexadecimal (base 16) | 17BE0 |
| Base 3 | 11221101210 |
| As time | 97248 seconds = 27 h 0 min 48 s |
Is 97248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97248 ÷ 2 = 48624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97248 ÷ 3 = 32416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97248 ÷ 4 = 24312) | 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 (97248 ÷ 6 = 16208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (97248 ÷ 8 = 12156) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97248 ÷ 12 = 8104) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97248 a prime number?
No. 97248 = × 3 × 1013, so it is divisible by 2.
What are the factors of 97248?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1013, 2026, 3039, 4052, 6078, 8104, 12156, 16208, 24312, 32416, 48624, 97248.
What is 97248 in binary?
10111101111100000 (hexadecimal 17BE0, octal 275740).
What is the square root of 97248?
About 311.8461, exactly 4√6078.
Is 97248 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97248?
It is a composite number with 24 divisors.