The number 55439
55439 is a twin prime (55439 and 55441 are both prime) and the 5628th prime number. Its only divisors are 1 and 55439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55439: a twin prime (55439 and 55441 are both prime); the 5628th prime number.
- 2
55439 is prime, so its only factors are 1 and 55439. It is the 5628th prime; the next prime is 55441 and the one before is 55411.
- 3
The divisors add up to 55440; without 55439 itself that is 1, so 55439 is deficient (1 is less than 55439). Euler's totient φ(55439) = 55438 numbers up to 55439 share no factor with it.
- 4
The digits of 55439 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 91 steps to reach 1.
55439 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 55438 |
| Square | 3073482721 |
| Cube | 170390808569519 |
| Square root | 235.454879 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5439 × |
55439 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and thirty-nine |
| Binary (base 2) | 1101100010001111 |
| Octal (base 8) | 154217 |
| Hexadecimal (base 16) | D88F |
| Base 3 | 2211001022 |
| As time | 55439 seconds = 15 h 23 min 59 s |
Is 55439 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 6) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 55439 a prime number?
Yes. 55439 is divisible only by 1 and itself.
What are the factors of 55439?
1, 55439.
What is 55439 in binary?
1101100010001111 (hexadecimal D88F, octal 154217).
What is the square root of 55439?
About 235.4549.
Is 55439 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55439?
55439 is a twin prime (55439 and 55441 are both prime); the 5628th prime number.