The number 5441
5441 is a twin prime (5441 and 5443 are both prime) and the 719th prime number. Its only divisors are 1 and 5441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5441: a twin prime (5441 and 5443 are both prime); the 719th prime number.
- 2
5441 is prime, so its only factors are 1 and 5441. It is the 719th prime; the next prime is 5443 and the one before is 5437.
- 3
The divisors add up to 5442; without 5441 itself that is 1, so 5441 is deficient (1 is less than 5441). Euler's totient φ(5441) = 5440 numbers up to 5441 share no factor with it.
- 4
The digits of 5441 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
5441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5442 |
| Euler totient φ(n) | 5440 |
| Square | 29604481 |
| Cube | 161077981121 |
| Square root | 73.763134 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.441 × |
5441 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and forty-one |
| Binary (base 2) | 1010101000001 |
| Octal (base 8) | 12501 |
| Hexadecimal (base 16) | 1541 |
| Base 3 | 21110112 |
| As time | 5441 seconds = 1 h 30 min 41 s |
Is 5441 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 1) | 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 1) | 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 5441 a prime number?
Yes. 5441 is divisible only by 1 and itself.
What are the factors of 5441?
1, 5441.
What is 5441 in binary?
1010101000001 (hexadecimal 1541, octal 12501).
What is the square root of 5441?
About 73.7631.
Is 5441 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5441?
5441 is a twin prime (5441 and 5443 are both prime); the 719th prime number.