The number 97772
97772 is a composite number with 6 divisors. Its prime factorisation is × 24443. Divisors (6): 1, 2, 4, 24443, 48886, 97772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97772 is composite. Its prime factorisation is
- 3
The divisors add up to 171108; without 97772 itself that is 73336, so 97772 is deficient (73336 is less than 97772). Euler's totient φ(97772) = 48884 numbers up to 97772 share no factor with it.
- 4
The digits of 97772 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97772 = 2^{2} \times 24443 \]97772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 171108 |
| Euler totient φ(n) | 48884 |
| Square | 9559363984 |
| Cube | 934638135443648 |
| Square root | 312.685145 (= 2√24443) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.7772 × |
97772 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and seventy-two |
| Binary (base 2) | 10111110111101100 |
| Octal (base 8) | 276754 |
| Hexadecimal (base 16) | 17DEC |
| Base 3 | 11222010012 |
| As time | 97772 seconds = 27 h 9 min 32 s |
Is 97772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97772 ÷ 2 = 48886) | 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 (97772 ÷ 4 = 24443) | 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 3) | 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 4) | 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 97772 a prime number?
No. 97772 = × 24443, so it is divisible by 2.
What are the factors of 97772?
1, 2, 4, 24443, 48886, 97772.
What is 97772 in binary?
10111110111101100 (hexadecimal 17DEC, octal 276754).
What is the square root of 97772?
About 312.6851, exactly 2√24443.
Is 97772 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97772?
It is a composite number with 6 divisors.