The number 19501
19501 is the 2213th prime number. Its only divisors are 1 and 19501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19501: the 2213th prime number.
- 2
19501 is prime, so its only factors are 1 and 19501. It is the 2213th prime; the next prime is 19507 and the one before is 19489.
- 3
The divisors add up to 19502; without 19501 itself that is 1, so 19501 is deficient (1 is less than 19501). Euler's totient φ(19501) = 19500 numbers up to 19501 share no factor with it.
- 4
The digits of 19501 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 123 steps to reach 1.
19501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 19502 |
| Euler totient φ(n) | 19500 |
| Square | 380289001 |
| Cube | 7416015808501 |
| Square root | 139.645981 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.9501 × |
19501 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand five hundred and one |
| Binary (base 2) | 100110000101101 |
| Octal (base 8) | 46055 |
| Hexadecimal (base 16) | 4C2D |
| Base 3 | 222202021 |
| As time | 19501 seconds = 5 h 25 min 1 s |
Is 19501 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 19501 a prime number?
Yes. 19501 is divisible only by 1 and itself.
What are the factors of 19501?
1, 19501.
What is 19501 in binary?
100110000101101 (hexadecimal 4C2D, octal 46055).
What is the square root of 19501?
About 139.6460.
Is 19501 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 19501?
19501 is the 2213th prime number.