The number 46133
46133 is the 4772nd prime number. Its only divisors are 1 and 46133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46133: the 4772nd prime number.
- 2
46133 is prime, so its only factors are 1 and 46133. It is the 4772nd prime; the next prime is 46141 and the one before is 46103.
- 3
The divisors add up to 46134; without 46133 itself that is 1, so 46133 is deficient (1 is less than 46133). Euler's totient φ(46133) = 46132 numbers up to 46133 share no factor with it.
- 4
The digits of 46133 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
46133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46134 |
| Euler totient φ(n) | 46132 |
| Square | 2128253689 |
| Cube | 98182727434637 |
| Square root | 214.785940 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6133 × |
46133 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and thirty-three |
| Binary (base 2) | 1011010000110101 |
| Octal (base 8) | 132065 |
| Hexadecimal (base 16) | B435 |
| Base 3 | 2100021122 |
| As time | 46133 seconds = 12 h 48 min 53 s |
Is 46133 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46133 a prime number?
Yes. 46133 is divisible only by 1 and itself.
What are the factors of 46133?
1, 46133.
What is 46133 in binary?
1011010000110101 (hexadecimal B435, octal 132065).
What is the square root of 46133?
About 214.7859.
Is 46133 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46133?
46133 is the 4772nd prime number.