The number 24342
24342 is a palindrome: it reads 24342 backwards too. Its prime factorisation is 2 × 3 × 4057. Divisors (8): 1, 2, 3, 6, 4057, 8114, 12171, 24342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24342: a palindrome: it reads 24342 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24342 is composite. Its prime factorisation is
- 3
The divisors add up to 48696; without 24342 itself that is 24354, so 24342 is abundant (24354 is more than 24342). Euler's totient φ(24342) = 8112 numbers up to 24342 share no factor with it.
- 4
The digits of 24342 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24342 = 2 \times 3 \times 4057 \]
24342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48696 |
| Euler totient φ(n) | 8112 |
| Square | 592532964 |
| Cube | 14423437409688 |
| Square root | 156.019230 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4342 × |
24342 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and forty-two |
| Binary (base 2) | 101111100010110 |
| Octal (base 8) | 57426 |
| Hexadecimal (base 16) | 5F16 |
| Base 3 | 1020101120 |
| As time | 24342 seconds = 6 h 45 min 42 s |
Is 24342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24342 ÷ 2 = 12171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24342 ÷ 3 = 8114) | 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 (24342 ÷ 6 = 4057) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | 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 24342 a prime number?
No. 24342 = 2 × 3 × 4057, so it is divisible by 2.
What are the factors of 24342?
1, 2, 3, 6, 4057, 8114, 12171, 24342.
What is 24342 in binary?
101111100010110 (hexadecimal 5F16, octal 57426).
What is the square root of 24342?
About 156.0192.
Is 24342 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24342?
24342 is a palindrome: it reads 24342 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.