The number 97532
97532 is a composite number with 12 divisors. Its prime factorisation is × 37 × 659. Divisors (12): 1, 2, 4, 37, 74, 148, 659, 1318, 2636, 24383, 48766, 97532.
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How to work it out
- 1
97532 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97532 is composite. Its prime factorisation is
- 3
The divisors add up to 175560; without 97532 itself that is 78028, so 97532 is deficient (78028 is less than 97532). Euler's totient φ(97532) = 47376 numbers up to 97532 share no factor with it.
- 4
The digits of 97532 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97532 = 2^{2} \times 37 \times 659 \]97532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 175560 |
| Euler totient φ(n) | 47376 |
| Square | 9512491024 |
| Cube | 927772274552768 |
| Square root | 312.301137 (= 2√24383) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7532 × |
97532 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand five hundred and thirty-two |
| Binary (base 2) | 10111110011111100 |
| Octal (base 8) | 276374 |
| Hexadecimal (base 16) | 17CFC |
| Base 3 | 11221210022 |
| As time | 97532 seconds = 27 h 5 min 32 s |
Is 97532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97532 ÷ 2 = 48766) | 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 (97532 ÷ 4 = 24383) | 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 1) | 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 8) | 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 6) | 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 97532 a prime number?
No. 97532 = × 37 × 659, so it is divisible by 2.
What are the factors of 97532?
1, 2, 4, 37, 74, 148, 659, 1318, 2636, 24383, 48766, 97532.
What is 97532 in binary?
10111110011111100 (hexadecimal 17CFC, octal 276374).
What is the square root of 97532?
About 312.3011, exactly 2√24383.
Is 97532 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97532?
It is a composite number with 12 divisors.