The number 52673
52673 is the 5377th prime number. Its only divisors are 1 and 52673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52673: the 5377th prime number.
- 2
52673 is prime, so its only factors are 1 and 52673. It is the 5377th prime; the next prime is 52691 and the one before is 52667.
- 3
The divisors add up to 52674; without 52673 itself that is 1, so 52673 is deficient (1 is less than 52673). Euler's totient φ(52673) = 52672 numbers up to 52673 share no factor with it.
- 4
The digits of 52673 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 65 steps to reach 1.
52673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52674 |
| Euler totient φ(n) | 52672 |
| Square | 2774444929 |
| Cube | 146138337745217 |
| Square root | 229.505991 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2673 × |
52673 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand six hundred and seventy-three |
| Binary (base 2) | 1100110111000001 |
| Octal (base 8) | 146701 |
| Hexadecimal (base 16) | CDC1 |
| Base 3 | 2200020212 |
| As time | 52673 seconds = 14 h 37 min 53 s |
Is 52673 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 5) | 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 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 52673 a prime number?
Yes. 52673 is divisible only by 1 and itself.
What are the factors of 52673?
1, 52673.
What is 52673 in binary?
1100110111000001 (hexadecimal CDC1, octal 146701).
What is the square root of 52673?
About 229.5060.
Is 52673 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 52673?
52673 is the 5377th prime number.