The number 72739
72739 is the 7195th prime number. Its only divisors are 1 and 72739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72739: the 7195th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
72739 is prime, so its only factors are 1 and 72739. It is the 7195th prime; the next prime is 72763 and the one before is 72733.
- 3
The divisors add up to 72740; without 72739 itself that is 1, so 72739 is deficient (1 is less than 72739). Euler's totient φ(72739) = 72738 numbers up to 72739 share no factor with it.
- 4
The digits of 72739 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
72739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72740 |
| Euler totient φ(n) | 72738 |
| Square | 5290962121 |
| Cube | 384859293719419 |
| Square root | 269.701687 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2739 × |
72739 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and thirty-nine |
| Binary (base 2) | 10001110000100011 |
| Octal (base 8) | 216043 |
| Hexadecimal (base 16) | 11C23 |
| Base 3 | 10200210001 |
| As time | 72739 seconds = 20 h 12 min 19 s |
Is 72739 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 3) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72739 a prime number?
Yes. 72739 is divisible only by 1 and itself.
What are the factors of 72739?
1, 72739.
What is 72739 in binary?
10001110000100011 (hexadecimal 11C23, octal 216043).
What is the square root of 72739?
About 269.7017.
Is 72739 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 72739?
72739 is the 7195th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.