The number 24989
24989 is the 2762nd prime number. Its only divisors are 1 and 24989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24989: the 2762nd prime number.
- 2
24989 is prime, so its only factors are 1 and 24989. It is the 2762nd prime; the next prime is 25013 and the one before is 24979.
- 3
The divisors add up to 24990; without 24989 itself that is 1, so 24989 is deficient (1 is less than 24989). Euler's totient φ(24989) = 24988 numbers up to 24989 share no factor with it.
- 4
The digits of 24989 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
24989 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 24990 |
| Euler totient φ(n) | 24988 |
| Square | 624450121 |
| Cube | 15604384073669 |
| Square root | 158.079094 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4989 × |
24989 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and eighty-nine |
| Binary (base 2) | 110000110011101 |
| Octal (base 8) | 60635 |
| Hexadecimal (base 16) | 619D |
| Base 3 | 1021021112 |
| As time | 24989 seconds = 6 h 56 min 29 s |
Is 24989 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 4) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 24989 a prime number?
Yes. 24989 is divisible only by 1 and itself.
What are the factors of 24989?
1, 24989.
What is 24989 in binary?
110000110011101 (hexadecimal 619D, octal 60635).
What is the square root of 24989?
About 158.0791.
Is 24989 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 24989?
24989 is the 2762nd prime number.