The number 42210
42210 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 67. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 42210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42210: a Harshad number: divisible by its digit sum 9.
- 2
42210 is composite. Its prime factorisation is
- 3
The divisors add up to 127296; without 42210 itself that is 85086, so 42210 is abundant (85086 is more than 42210). Euler's totient φ(42210) = 9504 numbers up to 42210 share no factor with it.
- 4
The digits of 42210 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42210 = 2 \times 3^{2} \times 5 \times 7 \times 67 \]42210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 127296 |
| Euler totient φ(n) | 9504 |
| Square | 1781684100 |
| Cube | 75204885861000 |
| Square root | 205.450724 (= 3√4690) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.221 × |
42210 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and ten |
| Binary (base 2) | 1010010011100010 |
| Octal (base 8) | 122342 |
| Hexadecimal (base 16) | A4E2 |
| Base 3 | 2010220100 |
| As time | 42210 seconds = 11 h 43 min 30 s |
Is 42210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42210 ÷ 2 = 21105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42210 ÷ 3 = 14070) | 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 (42210 ÷ 5 = 8442) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42210 ÷ 6 = 7035) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42210 ÷ 7 = 6030) | 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 | Yes (42210 ÷ 9 = 4690) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42210 ÷ 10 = 4221) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42210 a prime number?
No. 42210 = 2 × × 5 × 7 × 67, so it is divisible by 2.
What are the factors of 42210?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 67, 70, 90, 105, 126, 134, 201, 210, 315, 335, 402, 469, 603, 630, 670, 938, 1005, 1206, 1407, 2010, 2345, 2814, 3015, 4221, 4690, 6030, 7035, 8442, 14070, 21105, 42210.
What is 42210 in binary?
1010010011100010 (hexadecimal A4E2, octal 122342).
What is the square root of 42210?
About 205.4507, exactly 3√4690.
Is 42210 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 42210?
42210 is a Harshad number: divisible by its digit sum 9.