The number 97132
97132 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3469. Divisors (12): 1, 2, 4, 7, 14, 28, 3469, 6938, 13876, 24283, 48566, 97132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97132 is composite. Its prime factorisation is
- 3
The divisors add up to 194320; without 97132 itself that is 97188, so 97132 is abundant (97188 is more than 97132). Euler's totient φ(97132) = 41616 numbers up to 97132 share no factor with it.
- 4
The digits of 97132 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97132 = 2^{2} \times 7 \times 3469 \]97132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 194320 |
| Euler totient φ(n) | 41616 |
| Square | 9434625424 |
| Cube | 916404036683968 |
| Square root | 311.660071 (= 2√24283) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7132 × |
97132 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and thirty-two |
| Binary (base 2) | 10111101101101100 |
| Octal (base 8) | 275554 |
| Hexadecimal (base 16) | 17B6C |
| Base 3 | 11221020111 |
| As time | 97132 seconds = 26 h 58 min 52 s |
Is 97132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97132 ÷ 2 = 48566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97132 ÷ 4 = 24283) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97132 ÷ 7 = 13876) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97132 a prime number?
No. 97132 = × 7 × 3469, so it is divisible by 2.
What are the factors of 97132?
1, 2, 4, 7, 14, 28, 3469, 6938, 13876, 24283, 48566, 97132.
What is 97132 in binary?
10111101101101100 (hexadecimal 17B6C, octal 275554).
What is the square root of 97132?
About 311.6601, exactly 2√24283.
Is 97132 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 97132?
It is a composite number with 12 divisors.