The number 24748
24748 is a composite number with 12 divisors. Its prime factorisation is × 23 × 269. Divisors (12): 1, 2, 4, 23, 46, 92, 269, 538, 1076, 6187, 12374, 24748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24748 is composite. Its prime factorisation is
- 3
The divisors add up to 45360; without 24748 itself that is 20612, so 24748 is deficient (20612 is less than 24748). Euler's totient φ(24748) = 11792 numbers up to 24748 share no factor with it.
- 4
The digits of 24748 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24748 = 2^{2} \times 23 \times 269 \]24748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 45360 |
| Euler totient φ(n) | 11792 |
| Square | 612463504 |
| Cube | 15157246796992 |
| Square root | 157.314971 (= 2√6187) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4748 × |
24748 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-eight |
| Binary (base 2) | 110000010101100 |
| Octal (base 8) | 60254 |
| Hexadecimal (base 16) | 60AC |
| Base 3 | 1020221121 |
| As time | 24748 seconds = 6 h 52 min 28 s |
Is 24748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24748 ÷ 2 = 12374) | 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 | Yes (24748 ÷ 4 = 6187) | 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 4) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24748 a prime number?
No. 24748 = × 23 × 269, so it is divisible by 2.
What are the factors of 24748?
1, 2, 4, 23, 46, 92, 269, 538, 1076, 6187, 12374, 24748.
What is 24748 in binary?
110000010101100 (hexadecimal 60AC, octal 60254).
What is the square root of 24748?
About 157.3150, exactly 2√6187.
Is 24748 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 24748?
It is a composite number with 12 divisors.