The number 52501
52501 is the 5360th prime number. Its only divisors are 1 and 52501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52501: the 5360th prime number.
- 2
52501 is prime, so its only factors are 1 and 52501. It is the 5360th prime; the next prime is 52511 and the one before is 52489.
- 3
The divisors add up to 52502; without 52501 itself that is 1, so 52501 is deficient (1 is less than 52501). Euler's totient φ(52501) = 52500 numbers up to 52501 share no factor with it.
- 4
The digits of 52501 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
52501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 52502 |
| Euler totient φ(n) | 52500 |
| Square | 2756355001 |
| Cube | 144711393907501 |
| Square root | 229.130967 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2501 × |
52501 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred and one |
| Binary (base 2) | 1100110100010101 |
| Octal (base 8) | 146425 |
| Hexadecimal (base 16) | CD15 |
| Base 3 | 2200000111 |
| As time | 52501 seconds = 14 h 35 min 1 s |
Is 52501 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 1) | 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 4) | 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 9) | 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 52501 a prime number?
Yes. 52501 is divisible only by 1 and itself.
What are the factors of 52501?
1, 52501.
What is 52501 in binary?
1100110100010101 (hexadecimal CD15, octal 146425).
What is the square root of 52501?
About 229.1310.
Is 52501 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 52501?
52501 is the 5360th prime number.