The number 97732
97732 is a composite number with 12 divisors. Its prime factorisation is × 53 × 461. Divisors (12): 1, 2, 4, 53, 106, 212, 461, 922, 1844, 24433, 48866, 97732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97732: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97732 is composite. Its prime factorisation is
- 3
The divisors add up to 174636; without 97732 itself that is 76904, so 97732 is deficient (76904 is less than 97732). Euler's totient φ(97732) = 47840 numbers up to 97732 share no factor with it.
- 4
The digits of 97732 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97732 = 2^{2} \times 53 \times 461 \]97732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 174636 |
| Euler totient φ(n) | 47840 |
| Square | 9551543824 |
| Cube | 933491481007168 |
| Square root | 312.621177 (= 2√24433) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7732 × |
97732 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and thirty-two |
| Binary (base 2) | 10111110111000100 |
| Octal (base 8) | 276704 |
| Hexadecimal (base 16) | 17DC4 |
| Base 3 | 11222001201 |
| As time | 97732 seconds = 27 h 8 min 52 s |
Is 97732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97732 ÷ 2 = 48866) | 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 (97732 ÷ 4 = 24433) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 97732 a prime number?
No. 97732 = × 53 × 461, so it is divisible by 2.
What are the factors of 97732?
1, 2, 4, 53, 106, 212, 461, 922, 1844, 24433, 48866, 97732.
What is 97732 in binary?
10111110111000100 (hexadecimal 17DC4, octal 276704).
What is the square root of 97732?
About 312.6212, exactly 2√24433.
Is 97732 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 97732?
97732 is a happy number: repeatedly adding the squares of its digits reaches 1.