The number 4441
4441 is the 603rd prime number. Its only divisors are 1 and 4441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4441: the 603rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4441 is prime, so its only factors are 1 and 4441. It is the 603rd prime; the next prime is 4447 and the one before is 4423.
- 3
The divisors add up to 4442; without 4441 itself that is 1, so 4441 is deficient (1 is less than 4441). Euler's totient φ(4441) = 4440 numbers up to 4441 share no factor with it.
- 4
The digits of 4441 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
4441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4442 |
| Euler totient φ(n) | 4440 |
| Square | 19722481 |
| Cube | 87587538121 |
| Square root | 66.640828 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 183 |
| Scientific notation | 4.441 × |
4441 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and forty-one |
| Binary (base 2) | 1000101011001 |
| Octal (base 8) | 10531 |
| Hexadecimal (base 16) | 1159 |
| Base 3 | 20002111 |
| As time | 4441 seconds = 1 h 14 min 1 s |
Is 4441 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 3) | 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 4) | 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 8) | 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 4441 a prime number?
Yes. 4441 is divisible only by 1 and itself.
What are the factors of 4441?
1, 4441.
What is 4441 in binary?
1000101011001 (hexadecimal 1159, octal 10531).
What is the square root of 4441?
About 66.6408.
Is 4441 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4441?
4441 is the 603rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.