The number 97012
97012 is a composite number with 12 divisors. Its prime factorisation is × 79 × 307. Divisors (12): 1, 2, 4, 79, 158, 307, 316, 614, 1228, 24253, 48506, 97012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97012 is composite. Its prime factorisation is
- 3
The divisors add up to 172480; without 97012 itself that is 75468, so 97012 is deficient (75468 is less than 97012). Euler's totient φ(97012) = 47736 numbers up to 97012 share no factor with it.
- 4
The digits of 97012 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97012 = 2^{2} \times 79 \times 307 \]97012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 172480 |
| Euler totient φ(n) | 47736 |
| Square | 9411328144 |
| Cube | 913011765905728 |
| Square root | 311.467494 (= 2√24253) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.7012 × |
97012 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and twelve |
| Binary (base 2) | 10111101011110100 |
| Octal (base 8) | 275364 |
| Hexadecimal (base 16) | 17AF4 |
| Base 3 | 11221002001 |
| As time | 97012 seconds = 26 h 56 min 52 s |
Is 97012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97012 ÷ 2 = 48506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97012 ÷ 4 = 24253) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97012 a prime number?
No. 97012 = × 79 × 307, so it is divisible by 2.
What are the factors of 97012?
1, 2, 4, 79, 158, 307, 316, 614, 1228, 24253, 48506, 97012.
What is 97012 in binary?
10111101011110100 (hexadecimal 17AF4, octal 275364).
What is the square root of 97012?
About 311.4675, exactly 2√24253.
Is 97012 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 97012?
It is a composite number with 12 divisors.