The number 22501
22501 is the 2516th prime number. Its only divisors are 1 and 22501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22501: the 2516th prime number.
- 2
22501 is prime, so its only factors are 1 and 22501. It is the 2516th prime; the next prime is 22511 and the one before is 22483.
- 3
The divisors add up to 22502; without 22501 itself that is 1, so 22501 is deficient (1 is less than 22501). Euler's totient φ(22501) = 22500 numbers up to 22501 share no factor with it.
- 4
The digits of 22501 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
22501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22502 |
| Euler totient φ(n) | 22500 |
| Square | 506295001 |
| Cube | 11392143817501 |
| Square root | 150.003333 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2501 × |
22501 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand five hundred and one |
| Binary (base 2) | 101011111100101 |
| Octal (base 8) | 53745 |
| Hexadecimal (base 16) | 57E5 |
| Base 3 | 1010212101 |
| As time | 22501 seconds = 6 h 15 min 1 s |
Is 22501 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 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 1) | 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 6) | 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 22501 a prime number?
Yes. 22501 is divisible only by 1 and itself.
What are the factors of 22501?
1, 22501.
What is 22501 in binary?
101011111100101 (hexadecimal 57E5, octal 53745).
What is the square root of 22501?
About 150.0033.
Is 22501 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22501?
22501 is the 2516th prime number.