The number 42144
42144 is a composite number with 24 divisors. Its prime factorisation is × 3 × 439. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 439, 878, 1317, 1756 … 42144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42144 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 42144 itself that is 68736, so 42144 is abundant (68736 is more than 42144). Euler's totient φ(42144) = 14016 numbers up to 42144 share no factor with it.
- 4
The digits of 42144 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42144 = 2^{5} \times 3 \times 439 \]42144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 14016 |
| Square | 1776116736 |
| Cube | 74852663721984 |
| Square root | 205.290039 (= 4√2634) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2144 × |
42144 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and forty-four |
| Binary (base 2) | 1010010010100000 |
| Octal (base 8) | 122240 |
| Hexadecimal (base 16) | A4A0 |
| Base 3 | 2010210220 |
| As time | 42144 seconds = 11 h 42 min 24 s |
Is 42144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42144 ÷ 2 = 21072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42144 ÷ 3 = 14048) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42144 ÷ 4 = 10536) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42144 ÷ 6 = 7024) | 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 | Yes (42144 ÷ 8 = 5268) | 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 4) | 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 | Yes (42144 ÷ 12 = 3512) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42144 a prime number?
No. 42144 = × 3 × 439, so it is divisible by 2.
What are the factors of 42144?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 439, 878, 1317, 1756, 2634, 3512, 5268, 7024, 10536, 14048, 21072, 42144.
What is 42144 in binary?
1010010010100000 (hexadecimal A4A0, octal 122240).
What is the square root of 42144?
About 205.2900, exactly 4√2634.
Is 42144 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42144?
It is a composite number with 24 divisors.