The number 97482
97482 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 211. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 211, 231 … 97482.
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How to work it out
- 1
97482 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97482 is composite. Its prime factorisation is
- 3
The divisors add up to 244224; without 97482 itself that is 146742, so 97482 is abundant (146742 is more than 97482). Euler's totient φ(97482) = 25200 numbers up to 97482 share no factor with it.
- 4
The digits of 97482 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97482 = 2 \times 3 \times 7 \times 11 \times 211 \]
97482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 244224 |
| Euler totient φ(n) | 25200 |
| Square | 9502740324 |
| Cube | 926346132264168 |
| Square root | 312.221076 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7482 × |
97482 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and eighty-two |
| Binary (base 2) | 10111110011001010 |
| Octal (base 8) | 276312 |
| Hexadecimal (base 16) | 17CCA |
| Base 3 | 11221201110 |
| As time | 97482 seconds = 27 h 4 min 42 s |
Is 97482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97482 ÷ 2 = 48741) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97482 ÷ 3 = 32494) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (97482 ÷ 6 = 16247) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97482 ÷ 7 = 13926) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | Yes (97482 ÷ 11 = 8862) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97482 a prime number?
No. 97482 = 2 × 3 × 7 × 11 × 211, so it is divisible by 2.
What are the factors of 97482?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 211, 231, 422, 462, 633, 1266, 1477, 2321, 2954, 4431, 4642, 6963, 8862, 13926, 16247, 32494, 48741, 97482.
What is 97482 in binary?
10111110011001010 (hexadecimal 17CCA, octal 276312).
What is the square root of 97482?
About 312.2211.
Is 97482 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97482?
It is a composite number with 32 divisors.