The number 21713
21713 is the 2436th prime number. Its only divisors are 1 and 21713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21713: the 2436th prime number.
- 2
21713 is prime, so its only factors are 1 and 21713. It is the 2436th prime; the next prime is 21727 and the one before is 21701.
- 3
The divisors add up to 21714; without 21713 itself that is 1, so 21713 is deficient (1 is less than 21713). Euler's totient φ(21713) = 21712 numbers up to 21713 share no factor with it.
- 4
The digits of 21713 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
21713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 21714 |
| Euler totient φ(n) | 21712 |
| Square | 471454369 |
| Cube | 10236688714097 |
| Square root | 147.353317 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.1713 × |
21713 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand seven hundred and thirteen |
| Binary (base 2) | 101010011010001 |
| Octal (base 8) | 52321 |
| Hexadecimal (base 16) | 54D1 |
| Base 3 | 1002210012 |
| As time | 21713 seconds = 6 h 1 min 53 s |
Is 21713 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 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 10) | 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 21713 a prime number?
Yes. 21713 is divisible only by 1 and itself.
What are the factors of 21713?
1, 21713.
What is 21713 in binary?
101010011010001 (hexadecimal 54D1, octal 52321).
What is the square root of 21713?
About 147.3533.
Is 21713 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 21713?
21713 is the 2436th prime number.