The number 97764
97764 is a composite number with 12 divisors. Its prime factorisation is × 3 × 8147. Divisors (12): 1, 2, 3, 4, 6, 12, 8147, 16294, 24441, 32588, 48882, 97764.
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How to work it out
- 1
97764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97764 is composite. Its prime factorisation is
- 3
The divisors add up to 228144; without 97764 itself that is 130380, so 97764 is abundant (130380 is more than 97764). Euler's totient φ(97764) = 32584 numbers up to 97764 share no factor with it.
- 4
The digits of 97764 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97764 = 2^{2} \times 3 \times 8147 \]97764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 228144 |
| Euler totient φ(n) | 32584 |
| Square | 9557799696 |
| Cube | 934408729479744 |
| Square root | 312.672352 (= 2√24441) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7764 × |
97764 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and sixty-four |
| Binary (base 2) | 10111110111100100 |
| Octal (base 8) | 276744 |
| Hexadecimal (base 16) | 17DE4 |
| Base 3 | 11222002220 |
| As time | 97764 seconds = 27 h 9 min 24 s |
Is 97764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97764 ÷ 2 = 48882) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97764 ÷ 3 = 32588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97764 ÷ 4 = 24441) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97764 ÷ 6 = 16294) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (97764 ÷ 12 = 8147) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97764 a prime number?
No. 97764 = × 3 × 8147, so it is divisible by 2.
What are the factors of 97764?
1, 2, 3, 4, 6, 12, 8147, 16294, 24441, 32588, 48882, 97764.
What is 97764 in binary?
10111110111100100 (hexadecimal 17DE4, octal 276744).
What is the square root of 97764?
About 312.6724, exactly 2√24441.
Is 97764 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 97764?
It is a composite number with 12 divisors.