The number 24388
24388 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 67. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 67, 91, 134, 182, 268, 364, 469 … 24388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24388 is composite. Its prime factorisation is
- 3
The divisors add up to 53312; without 24388 itself that is 28924, so 24388 is abundant (28924 is more than 24388). Euler's totient φ(24388) = 9504 numbers up to 24388 share no factor with it.
- 4
The digits of 24388 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24388 = 2^{2} \times 7 \times 13 \times 67 \]24388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 53312 |
| Euler totient φ(n) | 9504 |
| Square | 594774544 |
| Cube | 14505361579072 |
| Square root | 156.166578 (= 2√6097) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.4388 × |
24388 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and eighty-eight |
| Binary (base 2) | 101111101000100 |
| Octal (base 8) | 57504 |
| Hexadecimal (base 16) | 5F44 |
| Base 3 | 1020110021 |
| As time | 24388 seconds = 6 h 46 min 28 s |
Is 24388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24388 ÷ 2 = 12194) | 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 (24388 ÷ 4 = 6097) | 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 | Yes (24388 ÷ 7 = 3484) | 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 1) | 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 24388 a prime number?
No. 24388 = × 7 × 13 × 67, so it is divisible by 2.
What are the factors of 24388?
1, 2, 4, 7, 13, 14, 26, 28, 52, 67, 91, 134, 182, 268, 364, 469, 871, 938, 1742, 1876, 3484, 6097, 12194, 24388.
What is 24388 in binary?
101111101000100 (hexadecimal 5F44, octal 57504).
What is the square root of 24388?
About 156.1666, exactly 2√6097.
Is 24388 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 24388?
It is a composite number with 24 divisors.