The number 97232
97232 is a composite number with 20 divisors. Its prime factorisation is × 59 × 103. Divisors (20): 1, 2, 4, 8, 16, 59, 103, 118, 206, 236, 412, 472, 824, 944, 1648, 6077 … 97232.
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How to work it out
- 1
97232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97232 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 97232 itself that is 96208, so 97232 is deficient (96208 is less than 97232). Euler's totient φ(97232) = 47328 numbers up to 97232 share no factor with it.
- 4
The digits of 97232 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97232 = 2^{4} \times 59 \times 103 \]97232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 47328 |
| Square | 9454061824 |
| Cube | 919237339271168 |
| Square root | 311.820461 (= 4√6077) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7232 × |
97232 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and thirty-two |
| Binary (base 2) | 10111101111010000 |
| Octal (base 8) | 275720 |
| Hexadecimal (base 16) | 17BD0 |
| Base 3 | 11221101012 |
| As time | 97232 seconds = 27 h 0 min 32 s |
Is 97232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97232 ÷ 2 = 48616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97232 ÷ 4 = 24308) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (97232 ÷ 8 = 12154) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97232 a prime number?
No. 97232 = × 59 × 103, so it is divisible by 2.
What are the factors of 97232?
1, 2, 4, 8, 16, 59, 103, 118, 206, 236, 412, 472, 824, 944, 1648, 6077, 12154, 24308, 48616, 97232.
What is 97232 in binary?
10111101111010000 (hexadecimal 17BD0, octal 275720).
What is the square root of 97232?
About 311.8205, exactly 4√6077.
Is 97232 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97232?
It is a composite number with 20 divisors.