The number 24742
24742 is a palindrome: it reads 24742 backwards too. Its prime factorisation is 2 × 89 × 139. Divisors (8): 1, 2, 89, 139, 178, 278, 12371, 24742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24742: a palindrome: it reads 24742 backwards too.
- 2
24742 is composite. Its prime factorisation is
- 3
The divisors add up to 37800; without 24742 itself that is 13058, so 24742 is deficient (13058 is less than 24742). Euler's totient φ(24742) = 12144 numbers up to 24742 share no factor with it.
- 4
The digits of 24742 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24742 = 2 \times 89 \times 139 \]
24742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37800 |
| Euler totient φ(n) | 12144 |
| Square | 612166564 |
| Cube | 15146225126488 |
| Square root | 157.295900 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4742 × |
24742 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand seven hundred and forty-two |
| Binary (base 2) | 110000010100110 |
| Octal (base 8) | 60246 |
| Hexadecimal (base 16) | 60A6 |
| Base 3 | 1020221101 |
| As time | 24742 seconds = 6 h 52 min 22 s |
Is 24742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24742 ÷ 2 = 12371) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24742 a prime number?
No. 24742 = 2 × 89 × 139, so it is divisible by 2.
What are the factors of 24742?
1, 2, 89, 139, 178, 278, 12371, 24742.
What is 24742 in binary?
110000010100110 (hexadecimal 60A6, octal 60246).
What is the square root of 24742?
About 157.2959.
Is 24742 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 24742?
24742 is a palindrome: it reads 24742 backwards too.