The number 97432
97432 is a composite number with 16 divisors. Its prime factorisation is × 19 × 641. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 641, 1282, 2564, 5128, 12179, 24358, 48716, 97432.
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How to work it out
- 1
97432 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97432 is composite. Its prime factorisation is
- 3
The divisors add up to 192600; without 97432 itself that is 95168, so 97432 is deficient (95168 is less than 97432). Euler's totient φ(97432) = 46080 numbers up to 97432 share no factor with it.
- 4
The digits of 97432 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97432 = 2^{3} \times 19 \times 641 \]97432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 192600 |
| Euler totient φ(n) | 46080 |
| Square | 9492994624 |
| Cube | 924921452205568 |
| Square root | 312.140994 (= 2√24358) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7432 × |
97432 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and thirty-two |
| Binary (base 2) | 10111110010011000 |
| Octal (base 8) | 276230 |
| Hexadecimal (base 16) | 17C98 |
| Base 3 | 11221122121 |
| As time | 97432 seconds = 27 h 3 min 52 s |
Is 97432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97432 ÷ 2 = 48716) | 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 (97432 ÷ 4 = 24358) | 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 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 (97432 ÷ 8 = 12179) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 97432 a prime number?
No. 97432 = × 19 × 641, so it is divisible by 2.
What are the factors of 97432?
1, 2, 4, 8, 19, 38, 76, 152, 641, 1282, 2564, 5128, 12179, 24358, 48716, 97432.
What is 97432 in binary?
10111110010011000 (hexadecimal 17C98, octal 276230).
What is the square root of 97432?
About 312.1410, exactly 2√24358.
Is 97432 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97432?
It is a composite number with 16 divisors.