The number 42110
42110 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4211. Divisors (8): 1, 2, 5, 10, 4211, 8422, 21055, 42110.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42110 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42110 is composite. Its prime factorisation is
- 3
The divisors add up to 75816; without 42110 itself that is 33706, so 42110 is deficient (33706 is less than 42110). Euler's totient φ(42110) = 16840 numbers up to 42110 share no factor with it.
- 4
The digits of 42110 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42110 = 2 \times 5 \times 4211 \]
42110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75816 |
| Euler totient φ(n) | 16840 |
| Square | 1773252100 |
| Cube | 74671645931000 |
| Square root | 205.207212 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.211 × |
42110 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and ten |
| Binary (base 2) | 1010010001111110 |
| Octal (base 8) | 122176 |
| Hexadecimal (base 16) | A47E |
| Base 3 | 2010202122 |
| As time | 42110 seconds = 11 h 41 min 50 s |
Is 42110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42110 ÷ 2 = 21055) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (42110 ÷ 5 = 8422) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42110 ÷ 10 = 4211) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42110 a prime number?
No. 42110 = 2 × 5 × 4211, so it is divisible by 2.
What are the factors of 42110?
1, 2, 5, 10, 4211, 8422, 21055, 42110.
What is 42110 in binary?
1010010001111110 (hexadecimal A47E, octal 122176).
What is the square root of 42110?
About 205.2072.
Is 42110 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 42110?
It is a composite number with 8 divisors.