The number 97242
97242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 853. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 853, 1706, 2559, 5118, 16207, 32414, 48621, 97242.
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How to work it out
- 1
97242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97242 is composite. Its prime factorisation is
- 3
The divisors add up to 204960; without 97242 itself that is 107718, so 97242 is abundant (107718 is more than 97242). Euler's totient φ(97242) = 30672 numbers up to 97242 share no factor with it.
- 4
The digits of 97242 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97242 = 2 \times 3 \times 19 \times 853 \]
97242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 204960 |
| Euler totient φ(n) | 30672 |
| Square | 9456006564 |
| Cube | 919520990296488 |
| Square root | 311.836496 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7242 × |
97242 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand two hundred and forty-two |
| Binary (base 2) | 10111101111011010 |
| Octal (base 8) | 275732 |
| Hexadecimal (base 16) | 17BDA |
| Base 3 | 11221101120 |
| As time | 97242 seconds = 27 h 0 min 42 s |
Is 97242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97242 ÷ 2 = 48621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97242 ÷ 3 = 32414) | 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 (97242 ÷ 6 = 16207) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | 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 97242 a prime number?
No. 97242 = 2 × 3 × 19 × 853, so it is divisible by 2.
What are the factors of 97242?
1, 2, 3, 6, 19, 38, 57, 114, 853, 1706, 2559, 5118, 16207, 32414, 48621, 97242.
What is 97242 in binary?
10111101111011010 (hexadecimal 17BDA, octal 275732).
What is the square root of 97242?
About 311.8365.
Is 97242 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 97242?
It is a composite number with 16 divisors.