The number 42010
42010 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4201. Divisors (8): 1, 2, 5, 10, 4201, 8402, 21005, 42010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42010 is composite. Its prime factorisation is
- 3
The divisors add up to 75636; without 42010 itself that is 33626, so 42010 is deficient (33626 is less than 42010). Euler's totient φ(42010) = 16800 numbers up to 42010 share no factor with it.
- 4
The digits of 42010 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42010 = 2 \times 5 \times 4201 \]
42010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75636 |
| Euler totient φ(n) | 16800 |
| Square | 1764840100 |
| Cube | 74140932601000 |
| Square root | 204.963411 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.201 × |
42010 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and ten |
| Binary (base 2) | 1010010000011010 |
| Octal (base 8) | 122032 |
| Hexadecimal (base 16) | A41A |
| Base 3 | 2010121221 |
| As time | 42010 seconds = 11 h 40 min 10 s |
Is 42010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42010 ÷ 2 = 21005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (42010 ÷ 5 = 8402) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42010 ÷ 10 = 4201) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42010 a prime number?
No. 42010 = 2 × 5 × 4201, so it is divisible by 2.
What are the factors of 42010?
1, 2, 5, 10, 4201, 8402, 21005, 42010.
What is 42010 in binary?
1010010000011010 (hexadecimal A41A, octal 122032).
What is the square root of 42010?
About 204.9634.
Is 42010 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 42010?
It is a composite number with 8 divisors.