The number 46441
46441 is a twin prime (46439 and 46441 are both prime) and the 4799th prime number. Its only divisors are 1 and 46441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46441: a twin prime (46439 and 46441 are both prime); the 4799th prime number.
- 2
46441 is prime, so its only factors are 1 and 46441. It is the 4799th prime; the next prime is 46447 and the one before is 46439.
- 3
The divisors add up to 46442; without 46441 itself that is 1, so 46441 is deficient (1 is less than 46441). Euler's totient φ(46441) = 46440 numbers up to 46441 share no factor with it.
- 4
The digits of 46441 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 176 steps to reach 1.
46441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46442 |
| Euler totient φ(n) | 46440 |
| Square | 2156766481 |
| Cube | 100162392144121 |
| Square root | 215.501740 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6441 × |
46441 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty-one |
| Binary (base 2) | 1011010101101001 |
| Octal (base 8) | 132551 |
| Hexadecimal (base 16) | B569 |
| Base 3 | 2100201001 |
| As time | 46441 seconds = 12 h 54 min 1 s |
Is 46441 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 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 10) | 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 46441 a prime number?
Yes. 46441 is divisible only by 1 and itself.
What are the factors of 46441?
1, 46441.
What is 46441 in binary?
1011010101101001 (hexadecimal B569, octal 132551).
What is the square root of 46441?
About 215.5017.
Is 46441 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 46441?
46441 is a twin prime (46439 and 46441 are both prime); the 4799th prime number.