The number 21341
21341 is the 2396th prime number. Its only divisors are 1 and 21341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 21341: the 2396th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
21341 is prime, so its only factors are 1 and 21341. It is the 2396th prime; the next prime is 21347 and the one before is 21323.
- 3
The divisors add up to 21342; without 21341 itself that is 1, so 21341 is deficient (1 is less than 21341). Euler's totient φ(21341) = 21340 numbers up to 21341 share no factor with it.
- 4
The digits of 21341 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
21341 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 21342 |
| Euler totient φ(n) | 21340 |
| Square | 455438281 |
| Cube | 9719508354821 |
| Square root | 146.085591 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.1341 × |
21341 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and forty-one |
| Binary (base 2) | 101001101011101 |
| Octal (base 8) | 51535 |
| Hexadecimal (base 16) | 535D |
| Base 3 | 1002021102 |
| As time | 21341 seconds = 5 h 55 min 41 s |
Is 21341 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 21341 a prime number?
Yes. 21341 is divisible only by 1 and itself.
What are the factors of 21341?
1, 21341.
What is 21341 in binary?
101001101011101 (hexadecimal 535D, octal 51535).
What is the square root of 21341?
About 146.0856.
Is 21341 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 21341?
21341 is the 2396th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.