The number 96772
96772 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1861. Divisors (12): 1, 2, 4, 13, 26, 52, 1861, 3722, 7444, 24193, 48386, 96772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
96772 is composite. Its prime factorisation is
- 3
The divisors add up to 182476; without 96772 itself that is 85704, so 96772 is deficient (85704 is less than 96772). Euler's totient φ(96772) = 44640 numbers up to 96772 share no factor with it.
- 4
The digits of 96772 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96772 = 2^{2} \times 13 \times 1861 \]96772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 182476 |
| Euler totient φ(n) | 44640 |
| Square | 9364819984 |
| Cube | 906252359491648 |
| Square root | 311.081983 (= 2√24193) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.6772 × |
96772 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and seventy-two |
| Binary (base 2) | 10111101000000100 |
| Octal (base 8) | 275004 |
| Hexadecimal (base 16) | 17A04 |
| Base 3 | 11220202011 |
| As time | 96772 seconds = 26 h 52 min 52 s |
Is 96772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96772 ÷ 2 = 48386) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96772 ÷ 4 = 24193) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96772 a prime number?
No. 96772 = × 13 × 1861, so it is divisible by 2.
What are the factors of 96772?
1, 2, 4, 13, 26, 52, 1861, 3722, 7444, 24193, 48386, 96772.
What is 96772 in binary?
10111101000000100 (hexadecimal 17A04, octal 275004).
What is the square root of 96772?
About 311.0820, exactly 2√24193.
Is 96772 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 96772?
96772 is a happy number: repeatedly adding the squares of its digits reaches 1.