The number 24642
24642 is a palindrome: it reads 24642 backwards too. Its prime factorisation is 2 × × . Divisors (18): 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214 … 24642.
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How to work it out
- 1
What is special about 24642: a palindrome: it reads 24642 backwards too; a Harshad number: divisible by its digit sum 18.
- 2
24642 is composite. Its prime factorisation is
- 3
The divisors add up to 54873; without 24642 itself that is 30231, so 24642 is abundant (30231 is more than 24642). Euler's totient φ(24642) = 7992 numbers up to 24642 share no factor with it.
- 4
The digits of 24642 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24642 = 2 \times 3^{2} \times 37^{2} \]24642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 54873 |
| Euler totient φ(n) | 7992 |
| Square | 607228164 |
| Cube | 14963316417288 |
| Square root | 156.977705 (= 111√2) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4642 × |
24642 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand six hundred and forty-two |
| Binary (base 2) | 110000001000010 |
| Octal (base 8) | 60102 |
| Hexadecimal (base 16) | 6042 |
| Base 3 | 1020210200 |
| As time | 24642 seconds = 6 h 50 min 42 s |
Is 24642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24642 ÷ 2 = 12321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24642 ÷ 3 = 8214) | 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 | Yes (24642 ÷ 6 = 4107) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24642 ÷ 9 = 2738) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24642 a prime number?
No. 24642 = 2 × × , so it is divisible by 2.
What are the factors of 24642?
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666, 1369, 2738, 4107, 8214, 12321, 24642.
What is 24642 in binary?
110000001000010 (hexadecimal 6042, octal 60102).
What is the square root of 24642?
About 156.9777, exactly 111√2.
Is 24642 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24642?
24642 is a palindrome: it reads 24642 backwards too; a Harshad number: divisible by its digit sum 18.