The number 97412
97412 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 343, 497, 686, 994 … 97412.
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How to work it out
- 1
97412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97412 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 97412 itself that is 104188, so 97412 is abundant (104188 is more than 97412). Euler's totient φ(97412) = 41160 numbers up to 97412 share no factor with it.
- 4
The digits of 97412 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97412 = 2^{2} \times 7^{3} \times 71 \]97412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 41160 |
| Square | 9489097744 |
| Cube | 924351989438528 |
| Square root | 312.108955 (= 14√497) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7412 × |
97412 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and twelve |
| Binary (base 2) | 10111110010000100 |
| Octal (base 8) | 276204 |
| Hexadecimal (base 16) | 17C84 |
| Base 3 | 11221121212 |
| As time | 97412 seconds = 27 h 3 min 32 s |
Is 97412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97412 ÷ 2 = 48706) | 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 (97412 ÷ 4 = 24353) | 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 | Yes (97412 ÷ 7 = 13916) | 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 5) | 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 7) | 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 97412 a prime number?
No. 97412 = × × 71, so it is divisible by 2.
What are the factors of 97412?
1, 2, 4, 7, 14, 28, 49, 71, 98, 142, 196, 284, 343, 497, 686, 994, 1372, 1988, 3479, 6958, 13916, 24353, 48706, 97412.
What is 97412 in binary?
10111110010000100 (hexadecimal 17C84, octal 276204).
What is the square root of 97412?
About 312.1090, exactly 14√497.
Is 97412 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 97412?
It is a composite number with 24 divisors.