The number 42468
42468 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3539. Divisors (12): 1, 2, 3, 4, 6, 12, 3539, 7078, 10617, 14156, 21234, 42468.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42468 is composite. Its prime factorisation is
- 3
The divisors add up to 99120; without 42468 itself that is 56652, so 42468 is abundant (56652 is more than 42468). Euler's totient φ(42468) = 14152 numbers up to 42468 share no factor with it.
- 4
The digits of 42468 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 256 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42468 = 2^{2} \times 3 \times 3539 \]42468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99120 |
| Euler totient φ(n) | 14152 |
| Square | 1803531024 |
| Cube | 76592355527232 |
| Square root | 206.077655 (= 2√10617) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 256 |
| Scientific notation | 4.2468 × |
42468 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-eight |
| Binary (base 2) | 1010010111100100 |
| Octal (base 8) | 122744 |
| Hexadecimal (base 16) | A5E4 |
| Base 3 | 2011020220 |
| As time | 42468 seconds = 11 h 47 min 48 s |
Is 42468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42468 ÷ 2 = 21234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42468 ÷ 3 = 14156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42468 ÷ 4 = 10617) | 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 | Yes (42468 ÷ 6 = 7078) | 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 | No (remainder 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42468 ÷ 12 = 3539) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42468 a prime number?
No. 42468 = × 3 × 3539, so it is divisible by 2.
What are the factors of 42468?
1, 2, 3, 4, 6, 12, 3539, 7078, 10617, 14156, 21234, 42468.
What is 42468 in binary?
1010010111100100 (hexadecimal A5E4, octal 122744).
What is the square root of 42468?
About 206.0777, exactly 2√10617.
Is 42468 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42468?
It is a composite number with 12 divisors.