The number 97112
97112 is a composite number with 16 divisors. Its prime factorisation is × 61 × 199. Divisors (16): 1, 2, 4, 8, 61, 122, 199, 244, 398, 488, 796, 1592, 12139, 24278, 48556, 97112.
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How to work it out
- 1
97112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97112 is composite. Its prime factorisation is
- 3
The divisors add up to 186000; without 97112 itself that is 88888, so 97112 is deficient (88888 is less than 97112). Euler's totient φ(97112) = 47520 numbers up to 97112 share no factor with it.
- 4
The digits of 97112 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97112 = 2^{3} \times 61 \times 199 \]97112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 186000 |
| Euler totient φ(n) | 47520 |
| Square | 9430740544 |
| Cube | 915838075708928 |
| Square root | 311.627983 (= 2√24278) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.7112 × |
97112 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand one hundred and twelve |
| Binary (base 2) | 10111101101011000 |
| Octal (base 8) | 275530 |
| Hexadecimal (base 16) | 17B58 |
| Base 3 | 11221012202 |
| As time | 97112 seconds = 26 h 58 min 32 s |
Is 97112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97112 ÷ 2 = 48556) | 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 (97112 ÷ 4 = 24278) | 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 | Yes (97112 ÷ 8 = 12139) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 97112 a prime number?
No. 97112 = × 61 × 199, so it is divisible by 2.
What are the factors of 97112?
1, 2, 4, 8, 61, 122, 199, 244, 398, 488, 796, 1592, 12139, 24278, 48556, 97112.
What is 97112 in binary?
10111101101011000 (hexadecimal 17B58, octal 275530).
What is the square root of 97112?
About 311.6280, exactly 2√24278.
Is 97112 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 97112?
It is a composite number with 16 divisors.