The number 24894
24894 is a composite number with 16 divisors. Its prime factorisation is 2 × × 461. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 461, 922, 1383, 2766, 4149, 8298, 12447, 24894.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24894: a Harshad number: divisible by its digit sum 27.
- 2
24894 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 24894 itself that is 30546, so 24894 is abundant (30546 is more than 24894). Euler's totient φ(24894) = 8280 numbers up to 24894 share no factor with it.
- 4
The digits of 24894 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24894 = 2 \times 3^{3} \times 461 \]24894 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 8280 |
| Square | 619711236 |
| Cube | 15427091508984 |
| Square root | 157.778326 (= 3√2766) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4894 × |
24894 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and ninety-four |
| Binary (base 2) | 110000100111110 |
| Octal (base 8) | 60476 |
| Hexadecimal (base 16) | 613E |
| Base 3 | 1021011000 |
| As time | 24894 seconds = 6 h 54 min 54 s |
Is 24894 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24894 ÷ 2 = 12447) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24894 ÷ 3 = 8298) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (24894 ÷ 6 = 4149) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24894 ÷ 9 = 2766) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24894 a prime number?
No. 24894 = 2 × × 461, so it is divisible by 2.
What are the factors of 24894?
1, 2, 3, 6, 9, 18, 27, 54, 461, 922, 1383, 2766, 4149, 8298, 12447, 24894.
What is 24894 in binary?
110000100111110 (hexadecimal 613E, octal 60476).
What is the square root of 24894?
About 157.7783, exactly 3√2766.
Is 24894 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24894?
24894 is a Harshad number: divisible by its digit sum 27.