The number 73727
73727 is the 7281st prime number. Its only divisors are 1 and 73727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73727: the 7281st prime number.
- 2
73727 is prime, so its only factors are 1 and 73727. It is the 7281st prime; the next prime is 73751 and the one before is 73721.
- 3
The divisors add up to 73728; without 73727 itself that is 1, so 73727 is deficient (1 is less than 73727). Euler's totient φ(73727) = 73726 numbers up to 73727 share no factor with it.
- 4
The digits of 73727 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
73727 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 73726 |
| Square | 5435670529 |
| Cube | 400755681091583 |
| Square root | 271.527163 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3727 × |
73727 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty-seven |
| Binary (base 2) | 10001111111111111 |
| Octal (base 8) | 217777 |
| Hexadecimal (base 16) | 11FFF |
| Base 3 | 10202010122 |
| As time | 73727 seconds = 20 h 28 min 47 s |
Is 73727 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 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73727 a prime number?
Yes. 73727 is divisible only by 1 and itself.
What are the factors of 73727?
1, 73727.
What is 73727 in binary?
10001111111111111 (hexadecimal 11FFF, octal 217777).
What is the square root of 73727?
About 271.5272.
Is 73727 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73727?
73727 is the 7281st prime number.