The number 55441
55441 is a twin prime (55439 and 55441 are both prime) and the 5629th prime number. Its only divisors are 1 and 55441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55441: a twin prime (55439 and 55441 are both prime); the 5629th prime number.
- 2
55441 is prime, so its only factors are 1 and 55441. It is the 5629th prime; the next prime is 55457 and the one before is 55439.
- 3
The divisors add up to 55442; without 55441 itself that is 1, so 55441 is deficient (1 is less than 55441). Euler's totient φ(55441) = 55440 numbers up to 55441 share no factor with it.
- 4
The digits of 55441 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55442 |
| Euler totient φ(n) | 55440 |
| Square | 3073704481 |
| Cube | 170409250131121 |
| Square root | 235.459126 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5441 × |
55441 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and forty-one |
| Binary (base 2) | 1101100010010001 |
| Octal (base 8) | 154221 |
| Hexadecimal (base 16) | D891 |
| Base 3 | 2211001101 |
| As time | 55441 seconds = 15 h 24 min 1 s |
Is 55441 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55441 a prime number?
Yes. 55441 is divisible only by 1 and itself.
What are the factors of 55441?
1, 55441.
What is 55441 in binary?
1101100010010001 (hexadecimal D891, octal 154221).
What is the square root of 55441?
About 235.4591.
Is 55441 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55441?
55441 is a twin prime (55439 and 55441 are both prime); the 5629th prime number.