The number 55337
55337 is a twin prime (55337 and 55339 are both prime) and the 5620th prime number. Its only divisors are 1 and 55337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55337: a twin prime (55337 and 55339 are both prime); the 5620th prime number.
- 2
55337 is prime, so its only factors are 1 and 55337. It is the 5620th prime; the next prime is 55339 and the one before is 55333.
- 3
The divisors add up to 55338; without 55337 itself that is 1, so 55337 is deficient (1 is less than 55337). Euler's totient φ(55337) = 55336 numbers up to 55337 share no factor with it.
- 4
The digits of 55337 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55338 |
| Euler totient φ(n) | 55336 |
| Square | 3062183569 |
| Cube | 169452052157753 |
| Square root | 235.238177 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5337 × |
55337 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-seven |
| Binary (base 2) | 1101100000101001 |
| Octal (base 8) | 154051 |
| Hexadecimal (base 16) | D829 |
| Base 3 | 2210220112 |
| As time | 55337 seconds = 15 h 22 min 17 s |
Is 55337 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55337 a prime number?
Yes. 55337 is divisible only by 1 and itself.
What are the factors of 55337?
1, 55337.
What is 55337 in binary?
1101100000101001 (hexadecimal D829, octal 154051).
What is the square root of 55337?
About 235.2382.
Is 55337 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55337?
55337 is a twin prime (55337 and 55339 are both prime); the 5620th prime number.