The number 46337
46337 is the 4792nd prime number. Its only divisors are 1 and 46337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46337: the 4792nd prime number.
- 2
46337 is prime, so its only factors are 1 and 46337. It is the 4792nd prime; the next prime is 46349 and the one before is 46327.
- 3
The divisors add up to 46338; without 46337 itself that is 1, so 46337 is deficient (1 is less than 46337). Euler's totient φ(46337) = 46336 numbers up to 46337 share no factor with it.
- 4
The digits of 46337 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 57 steps to reach 1.
46337 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46338 |
| Euler totient φ(n) | 46336 |
| Square | 2147117569 |
| Cube | 99490986794753 |
| Square root | 215.260308 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6337 × |
46337 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and thirty-seven |
| Binary (base 2) | 1011010100000001 |
| Octal (base 8) | 132401 |
| Hexadecimal (base 16) | B501 |
| Base 3 | 2100120012 |
| As time | 46337 seconds = 12 h 52 min 17 s |
Is 46337 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 4) | 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 5) | 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 46337 a prime number?
Yes. 46337 is divisible only by 1 and itself.
What are the factors of 46337?
1, 46337.
What is 46337 in binary?
1011010100000001 (hexadecimal B501, octal 132401).
What is the square root of 46337?
About 215.2603.
Is 46337 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46337?
46337 is the 4792nd prime number.