The number 24889
24889 is the 2751st prime number. Its only divisors are 1 and 24889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24889: the 2751st prime number.
- 2
24889 is prime, so its only factors are 1 and 24889. It is the 2751st prime; the next prime is 24907 and the one before is 24877.
- 3
The divisors add up to 24890; without 24889 itself that is 1, so 24889 is deficient (1 is less than 24889). Euler's totient φ(24889) = 24888 numbers up to 24889 share no factor with it.
- 4
The digits of 24889 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
24889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24890 |
| Euler totient φ(n) | 24888 |
| Square | 619462321 |
| Cube | 15417797707369 |
| Square root | 157.762480 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4889 × |
24889 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and eighty-nine |
| Binary (base 2) | 110000100111001 |
| Octal (base 8) | 60471 |
| Hexadecimal (base 16) | 6139 |
| Base 3 | 1021010211 |
| As time | 24889 seconds = 6 h 54 min 49 s |
Is 24889 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 4) | 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 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 24889 a prime number?
Yes. 24889 is divisible only by 1 and itself.
What are the factors of 24889?
1, 24889.
What is 24889 in binary?
110000100111001 (hexadecimal 6139, octal 60471).
What is the square root of 24889?
About 157.7625.
Is 24889 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 24889?
24889 is the 2751st prime number.