The number 42060
42060 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 701. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 701, 1402, 2103, 2804 … 42060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42060: a Harshad number: divisible by its digit sum 12.
- 2
42060 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 42060 itself that is 75876, so 42060 is abundant (75876 is more than 42060). Euler's totient φ(42060) = 11200 numbers up to 42060 share no factor with it.
- 4
The digits of 42060 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42060 = 2^{2} \times 3 \times 5 \times 701 \]42060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 11200 |
| Square | 1769043600 |
| Cube | 74405973816000 |
| Square root | 205.085348 (= 2√10515) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.206 × |
42060 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty |
| Binary (base 2) | 1010010001001100 |
| Octal (base 8) | 122114 |
| Hexadecimal (base 16) | A44C |
| Base 3 | 2010200210 |
| As time | 42060 seconds = 11 h 41 min 0 s |
Is 42060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42060 ÷ 2 = 21030) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42060 ÷ 3 = 14020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42060 ÷ 4 = 10515) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42060 ÷ 5 = 8412) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42060 ÷ 6 = 7010) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42060 ÷ 10 = 4206) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42060 ÷ 12 = 3505) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42060 a prime number?
No. 42060 = × 3 × 5 × 701, so it is divisible by 2.
What are the factors of 42060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 701, 1402, 2103, 2804, 3505, 4206, 7010, 8412, 10515, 14020, 21030, 42060.
What is 42060 in binary?
1010010001001100 (hexadecimal A44C, octal 122114).
What is the square root of 42060?
About 205.0853, exactly 2√10515.
Is 42060 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42060?
42060 is a Harshad number: divisible by its digit sum 12.