The number 97767
97767 is a composite number with 20 divisors. Its prime factorisation is × 17 × 71. Divisors (20): 1, 3, 9, 17, 27, 51, 71, 81, 153, 213, 459, 639, 1207, 1377, 1917, 3621 … 97767.
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How to work it out
- 1
97767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97767 is composite. Its prime factorisation is
- 3
The divisors add up to 156816; without 97767 itself that is 59049, so 97767 is deficient (59049 is less than 97767). Euler's totient φ(97767) = 60480 numbers up to 97767 share no factor with it.
- 4
The digits of 97767 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97767 = 3^{4} \times 17 \times 71 \]97767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 156816 |
| Euler totient φ(n) | 60480 |
| Square | 9558386289 |
| Cube | 934494752316663 |
| Square root | 312.677150 (= 9√1207) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7767 × |
97767 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and sixty-seven |
| Binary (base 2) | 10111110111100111 |
| Octal (base 8) | 276747 |
| Hexadecimal (base 16) | 17DE7 |
| Base 3 | 11222010000 |
| As time | 97767 seconds = 27 h 9 min 27 s |
Is 97767 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97767 ÷ 3 = 32589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97767 ÷ 9 = 10863) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97767 a prime number?
No. 97767 = × 17 × 71, so it is divisible by 3.
What are the factors of 97767?
1, 3, 9, 17, 27, 51, 71, 81, 153, 213, 459, 639, 1207, 1377, 1917, 3621, 5751, 10863, 32589, 97767.
What is 97767 in binary?
10111110111100111 (hexadecimal 17DE7, octal 276747).
What is the square root of 97767?
About 312.6771, exactly 9√1207.
Is 97767 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 97767?
It is a composite number with 20 divisors.