The number 46073
46073 is the 4767th prime number. Its only divisors are 1 and 46073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46073: the 4767th prime number.
- 2
46073 is prime, so its only factors are 1 and 46073. It is the 4767th prime; the next prime is 46091 and the one before is 46061.
- 3
The divisors add up to 46074; without 46073 itself that is 1, so 46073 is deficient (1 is less than 46073). Euler's totient φ(46073) = 46072 numbers up to 46073 share no factor with it.
- 4
The digits of 46073 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 251 steps to reach 1.
46073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46074 |
| Euler totient φ(n) | 46072 |
| Square | 2122721329 |
| Cube | 97800139791017 |
| Square root | 214.646221 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 251 |
| Scientific notation | 4.6073 × |
46073 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and seventy-three |
| Binary (base 2) | 1011001111111001 |
| Octal (base 8) | 131771 |
| Hexadecimal (base 16) | B3F9 |
| Base 3 | 2100012102 |
| As time | 46073 seconds = 12 h 47 min 53 s |
Is 46073 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 6) | 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 2) | 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 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 46073 a prime number?
Yes. 46073 is divisible only by 1 and itself.
What are the factors of 46073?
1, 46073.
What is 46073 in binary?
1011001111111001 (hexadecimal B3F9, octal 131771).
What is the square root of 46073?
About 214.6462.
Is 46073 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46073?
46073 is the 4767th prime number.