The number 25013
25013 is the 2763rd prime number. Its only divisors are 1 and 25013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25013: the 2763rd prime number.
- 2
25013 is prime, so its only factors are 1 and 25013. It is the 2763rd prime; the next prime is 25031 and the one before is 24989.
- 3
The divisors add up to 25014; without 25013 itself that is 1, so 25013 is deficient (1 is less than 25013). Euler's totient φ(25013) = 25012 numbers up to 25013 share no factor with it.
- 4
The digits of 25013 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 157 steps to reach 1.
25013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 25014 |
| Euler totient φ(n) | 25012 |
| Square | 625650169 |
| Cube | 15649387677197 |
| Square root | 158.154987 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.5013 × |
25013 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and thirteen |
| Binary (base 2) | 110000110110101 |
| Octal (base 8) | 60665 |
| Hexadecimal (base 16) | 61B5 |
| Base 3 | 1021022102 |
| As time | 25013 seconds = 6 h 56 min 53 s |
Is 25013 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 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 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 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 25013 a prime number?
Yes. 25013 is divisible only by 1 and itself.
What are the factors of 25013?
1, 25013.
What is 25013 in binary?
110000110110101 (hexadecimal 61B5, octal 60665).
What is the square root of 25013?
About 158.1550.
Is 25013 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 25013?
25013 is the 2763rd prime number.