The number 97272
97272 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 193. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 97272.
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How to work it out
- 1
97272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97272 is composite. Its prime factorisation is
- 3
The divisors add up to 302640; without 97272 itself that is 205368, so 97272 is abundant (205368 is more than 97272). Euler's totient φ(97272) = 27648 numbers up to 97272 share no factor with it.
- 4
The digits of 97272 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97272 = 2^{3} \times 3^{2} \times 7 \times 193 \]97272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 302640 |
| Euler totient φ(n) | 27648 |
| Square | 9461841984 |
| Cube | 920372293467648 |
| Square root | 311.884594 (= 6√2702) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.7272 × |
97272 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and seventy-two |
| Binary (base 2) | 10111101111111000 |
| Octal (base 8) | 275770 |
| Hexadecimal (base 16) | 17BF8 |
| Base 3 | 11221102200 |
| As time | 97272 seconds = 27 h 1 min 12 s |
Is 97272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97272 ÷ 2 = 48636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97272 ÷ 3 = 32424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97272 ÷ 4 = 24318) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97272 ÷ 6 = 16212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97272 ÷ 7 = 13896) | 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 (97272 ÷ 8 = 12159) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97272 ÷ 9 = 10808) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97272 ÷ 12 = 8106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97272 a prime number?
No. 97272 = × × 7 × 193, so it is divisible by 2.
What are the factors of 97272?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 193, 252, 386, 504, 579, 772, 1158, 1351, 1544, 1737, 2316, 2702, 3474, 4053, 4632, 5404, 6948, 8106, 10808, 12159, 13896, 16212, 24318, 32424, 48636, 97272.
What is 97272 in binary?
10111101111111000 (hexadecimal 17BF8, octal 275770).
What is the square root of 97272?
About 311.8846, exactly 6√2702.
Is 97272 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97272?
It is a composite number with 48 divisors.