The number 97712
97712 is a composite number with 20 divisors. Its prime factorisation is × 31 × 197. Divisors (20): 1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107 … 97712.
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How to work it out
- 1
97712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97712 is composite. Its prime factorisation is
- 3
The divisors add up to 196416; without 97712 itself that is 98704, so 97712 is abundant (98704 is more than 97712). Euler's totient φ(97712) = 47040 numbers up to 97712 share no factor with it.
- 4
The digits of 97712 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97712 = 2^{4} \times 31 \times 197 \]97712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 196416 |
| Euler totient φ(n) | 47040 |
| Square | 9547634944 |
| Cube | 932918505648128 |
| Square root | 312.589187 (= 4√6107) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7712 × |
97712 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and twelve |
| Binary (base 2) | 10111110110110000 |
| Octal (base 8) | 276660 |
| Hexadecimal (base 16) | 17DB0 |
| Base 3 | 11222000222 |
| As time | 97712 seconds = 27 h 8 min 32 s |
Is 97712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97712 ÷ 2 = 48856) | 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 (97712 ÷ 4 = 24428) | 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 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 | Yes (97712 ÷ 8 = 12214) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 97712 a prime number?
No. 97712 = × 31 × 197, so it is divisible by 2.
What are the factors of 97712?
1, 2, 4, 8, 16, 31, 62, 124, 197, 248, 394, 496, 788, 1576, 3152, 6107, 12214, 24428, 48856, 97712.
What is 97712 in binary?
10111110110110000 (hexadecimal 17DB0, octal 276660).
What is the square root of 97712?
About 312.5892, exactly 4√6107.
Is 97712 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 97712?
It is a composite number with 20 divisors.