The number 24804
24804 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 53. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 53, 78, 106 … 24804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24804: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24804 is composite. Its prime factorisation is
- 3
The divisors add up to 68796; without 24804 itself that is 43992, so 24804 is abundant (43992 is more than 24804). Euler's totient φ(24804) = 7488 numbers up to 24804 share no factor with it.
- 4
The digits of 24804 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24804 = 2^{2} \times 3^{2} \times 13 \times 53 \]24804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 68796 |
| Euler totient φ(n) | 7488 |
| Square | 615238416 |
| Cube | 15260373670464 |
| Square root | 157.492857 (= 6√689) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4804 × |
24804 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and four |
| Binary (base 2) | 110000011100100 |
| Octal (base 8) | 60344 |
| Hexadecimal (base 16) | 60E4 |
| Base 3 | 1021000200 |
| As time | 24804 seconds = 6 h 53 min 24 s |
Is 24804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24804 ÷ 2 = 12402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24804 ÷ 3 = 8268) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24804 ÷ 4 = 6201) | 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 (24804 ÷ 6 = 4134) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24804 ÷ 9 = 2756) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24804 ÷ 12 = 2067) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24804 a prime number?
No. 24804 = × × 13 × 53, so it is divisible by 2.
What are the factors of 24804?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 53, 78, 106, 117, 156, 159, 212, 234, 318, 468, 477, 636, 689, 954, 1378, 1908, 2067, 2756, 4134, 6201, 8268, 12402, 24804.
What is 24804 in binary?
110000011100100 (hexadecimal 60E4, octal 60344).
What is the square root of 24804?
About 157.4929, exactly 6√689.
Is 24804 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24804?
24804 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.