The number 77339
77339 is the 7598th prime number. Its only divisors are 1 and 77339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77339: the 7598th prime number.
- 2
77339 is prime, so its only factors are 1 and 77339. It is the 7598th prime; the next prime is 77347 and the one before is 77323.
- 3
The divisors add up to 77340; without 77339 itself that is 1, so 77339 is deficient (1 is less than 77339). Euler's totient φ(77339) = 77338 numbers up to 77339 share no factor with it.
- 4
The digits of 77339 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77340 |
| Euler totient φ(n) | 77338 |
| Square | 5981320921 |
| Cube | 462589378709219 |
| Square root | 278.098903 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7339 × |
77339 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and thirty-nine |
| Binary (base 2) | 10010111000011011 |
| Octal (base 8) | 227033 |
| Hexadecimal (base 16) | 12E1B |
| Base 3 | 10221002102 |
| As time | 77339 seconds = 21 h 28 min 59 s |
Is 77339 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 77339 a prime number?
Yes. 77339 is divisible only by 1 and itself.
What are the factors of 77339?
1, 77339.
What is 77339 in binary?
10010111000011011 (hexadecimal 12E1B, octal 227033).
What is the square root of 77339?
About 278.0989.
Is 77339 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77339?
77339 is the 7598th prime number.