The number 25073
25073 is the 2768th prime number. Its only divisors are 1 and 25073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25073: the 2768th prime number.
- 2
25073 is prime, so its only factors are 1 and 25073. It is the 2768th prime; the next prime is 25087 and the one before is 25057.
- 3
The divisors add up to 25074; without 25073 itself that is 1, so 25073 is deficient (1 is less than 25073). Euler's totient φ(25073) = 25072 numbers up to 25073 share no factor with it.
- 4
The digits of 25073 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
25073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 25074 |
| Euler totient φ(n) | 25072 |
| Square | 628655329 |
| Cube | 15762275064017 |
| Square root | 158.344561 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5073 × |
25073 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and seventy-three |
| Binary (base 2) | 110000111110001 |
| Octal (base 8) | 60761 |
| Hexadecimal (base 16) | 61F1 |
| Base 3 | 1021101122 |
| As time | 25073 seconds = 6 h 57 min 53 s |
Is 25073 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 8) | 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 4) | 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 25073 a prime number?
Yes. 25073 is divisible only by 1 and itself.
What are the factors of 25073?
1, 25073.
What is 25073 in binary?
110000111110001 (hexadecimal 61F1, octal 60761).
What is the square root of 25073?
About 158.3446.
Is 25073 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 25073?
25073 is the 2768th prime number.