The number 42054
42054 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 163. Divisors (16): 1, 2, 3, 6, 43, 86, 129, 163, 258, 326, 489, 978, 7009, 14018, 21027, 42054.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42054 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42054 is composite. Its prime factorisation is
- 3
The divisors add up to 86592; without 42054 itself that is 44538, so 42054 is abundant (44538 is more than 42054). Euler's totient φ(42054) = 13608 numbers up to 42054 share no factor with it.
- 4
The digits of 42054 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42054 = 2 \times 3 \times 43 \times 163 \]
42054 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86592 |
| Euler totient φ(n) | 13608 |
| Square | 1768538916 |
| Cube | 74374135573464 |
| Square root | 205.070720 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2054 × |
42054 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fifty-four |
| Binary (base 2) | 1010010001000110 |
| Octal (base 8) | 122106 |
| Hexadecimal (base 16) | A446 |
| Base 3 | 2010200120 |
| As time | 42054 seconds = 11 h 40 min 54 s |
Is 42054 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42054 ÷ 2 = 21027) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42054 ÷ 3 = 14018) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42054 ÷ 6 = 7009) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42054 a prime number?
No. 42054 = 2 × 3 × 43 × 163, so it is divisible by 2.
What are the factors of 42054?
1, 2, 3, 6, 43, 86, 129, 163, 258, 326, 489, 978, 7009, 14018, 21027, 42054.
What is 42054 in binary?
1010010001000110 (hexadecimal A446, octal 122106).
What is the square root of 42054?
About 205.0707.
Is 42054 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42054?
It is a composite number with 16 divisors.