The number 55339
55339 is a twin prime (55337 and 55339 are both prime) and the 5621st prime number. Its only divisors are 1 and 55339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55339: a twin prime (55337 and 55339 are both prime); the 5621st prime number.
- 2
55339 is prime, so its only factors are 1 and 55339. It is the 5621st prime; the next prime is 55343 and the one before is 55337.
- 3
The divisors add up to 55340; without 55339 itself that is 1, so 55339 is deficient (1 is less than 55339). Euler's totient φ(55339) = 55338 numbers up to 55339 share no factor with it.
- 4
The digits of 55339 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 91 steps to reach 1.
55339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55340 |
| Euler totient φ(n) | 55338 |
| Square | 3062404921 |
| Cube | 169470425923219 |
| Square root | 235.242428 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5339 × |
55339 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-nine |
| Binary (base 2) | 1101100000101011 |
| Octal (base 8) | 154053 |
| Hexadecimal (base 16) | D82B |
| Base 3 | 2210220121 |
| As time | 55339 seconds = 15 h 22 min 19 s |
Is 55339 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 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 3) | 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 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55339 a prime number?
Yes. 55339 is divisible only by 1 and itself.
What are the factors of 55339?
1, 55339.
What is 55339 in binary?
1101100000101011 (hexadecimal D82B, octal 154053).
What is the square root of 55339?
About 235.2424.
Is 55339 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55339?
55339 is a twin prime (55337 and 55339 are both prime); the 5621st prime number.