The number 25321
25321 is the 2793rd prime number. Its only divisors are 1 and 25321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25321: the 2793rd prime number.
- 2
25321 is prime, so its only factors are 1 and 25321. It is the 2793rd prime; the next prime is 25339 and the one before is 25309.
- 3
The divisors add up to 25322; without 25321 itself that is 1, so 25321 is deficient (1 is less than 25321). Euler's totient φ(25321) = 25320 numbers up to 25321 share no factor with it.
- 4
The digits of 25321 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 95 steps to reach 1.
25321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 25322 |
| Euler totient φ(n) | 25320 |
| Square | 641153041 |
| Cube | 16234636151161 |
| Square root | 159.125736 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.5321 × |
25321 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and twenty-one |
| Binary (base 2) | 110001011101001 |
| Octal (base 8) | 61351 |
| Hexadecimal (base 16) | 62E9 |
| Base 3 | 1021201211 |
| As time | 25321 seconds = 7 h 2 min 1 s |
Is 25321 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 2) | 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 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 10) | 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 25321 a prime number?
Yes. 25321 is divisible only by 1 and itself.
What are the factors of 25321?
1, 25321.
What is 25321 in binary?
110001011101001 (hexadecimal 62E9, octal 61351).
What is the square root of 25321?
About 159.1257.
Is 25321 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 25321?
25321 is the 2793rd prime number.