The number 96721
96721 is a perfect square (311²). Its prime factorisation is . Divisors (3): 1, 311, 96721.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96721: a perfect square (311²); the square of a prime (311²).
- 2
96721 is composite. Its prime factorisation is
- 3
The divisors add up to 97033; without 96721 itself that is 312, so 96721 is deficient (312 is less than 96721). Euler's totient φ(96721) = 96410 numbers up to 96721 share no factor with it.
- 4
The digits of 96721 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96721 = 311^{2} \]96721 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 97033 |
| Euler totient φ(n) | 96410 |
| Square | 9354951841 |
| Cube | 904820297013361 |
| Square root | 311 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.6721 × |
| Perfect power |
96721 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and twenty-one |
| Binary (base 2) | 10111100111010001 |
| Octal (base 8) | 274721 |
| Hexadecimal (base 16) | 179D1 |
| Base 3 | 11220200021 |
| As time | 96721 seconds = 26 h 52 min 1 s |
Is 96721 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96721 a prime number?
No. 96721 = , so it is divisible by 311.
What are the factors of 96721?
1, 311, 96721.
What is 96721 in binary?
10111100111010001 (hexadecimal 179D1, octal 274721).
What is the square root of 96721?
311, because 311 × 311 = 96721.
Is 96721 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 96721?
96721 is a perfect square (311²); the square of a prime (311²).