The number 25673
25673 is the 2828th prime number. Its only divisors are 1 and 25673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25673: the 2828th prime number.
- 2
25673 is prime, so its only factors are 1 and 25673. It is the 2828th prime; the next prime is 25679 and the one before is 25667.
- 3
The divisors add up to 25674; without 25673 itself that is 1, so 25673 is deficient (1 is less than 25673). Euler's totient φ(25673) = 25672 numbers up to 25673 share no factor with it.
- 4
The digits of 25673 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
25673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 25674 |
| Euler totient φ(n) | 25672 |
| Square | 659102929 |
| Cube | 16921149496217 |
| Square root | 160.227963 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.5673 × |
25673 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand six hundred and seventy-three |
| Binary (base 2) | 110010001001001 |
| Octal (base 8) | 62111 |
| Hexadecimal (base 16) | 6449 |
| Base 3 | 1022012212 |
| As time | 25673 seconds = 7 h 7 min 53 s |
Is 25673 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 4) | 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 25673 a prime number?
Yes. 25673 is divisible only by 1 and itself.
What are the factors of 25673?
1, 25673.
What is 25673 in binary?
110010001001001 (hexadecimal 6449, octal 62111).
What is the square root of 25673?
About 160.2280.
Is 25673 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 25673?
25673 is the 2828th prime number.