The number 24688
24688 is a composite number with 10 divisors. Its prime factorisation is × 1543. Divisors (10): 1, 2, 4, 8, 16, 1543, 3086, 6172, 12344, 24688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24688 is composite. Its prime factorisation is
- 3
The divisors add up to 47864; without 24688 itself that is 23176, so 24688 is deficient (23176 is less than 24688). Euler's totient φ(24688) = 12336 numbers up to 24688 share no factor with it.
- 4
The digits of 24688 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24688 = 2^{4} \times 1543 \]24688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 47864 |
| Euler totient φ(n) | 12336 |
| Square | 609497344 |
| Cube | 15047270428672 |
| Square root | 157.124155 (= 4√1543) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.4688 × |
24688 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and eighty-eight |
| Binary (base 2) | 110000001110000 |
| Octal (base 8) | 60160 |
| Hexadecimal (base 16) | 6070 |
| Base 3 | 1020212101 |
| As time | 24688 seconds = 6 h 51 min 28 s |
Is 24688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24688 ÷ 2 = 12344) | 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 (24688 ÷ 4 = 6172) | 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 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 | Yes (24688 ÷ 8 = 3086) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 24688 a prime number?
No. 24688 = × 1543, so it is divisible by 2.
What are the factors of 24688?
1, 2, 4, 8, 16, 1543, 3086, 6172, 12344, 24688.
What is 24688 in binary?
110000001110000 (hexadecimal 6070, octal 60160).
What is the square root of 24688?
About 157.1242, exactly 4√1543.
Is 24688 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 24688?
It is a composite number with 10 divisors.