The number 42180
42180 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 19 × 37. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 37, 38, 57, 60 … 42180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42180: a Harshad number: divisible by its digit sum 15.
- 2
42180 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 42180 itself that is 85500, so 42180 is abundant (85500 is more than 42180). Euler's totient φ(42180) = 10368 numbers up to 42180 share no factor with it.
- 4
The digits of 42180 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42180 = 2^{2} \times 3 \times 5 \times 19 \times 37 \]42180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 10368 |
| Square | 1779152400 |
| Cube | 75044648232000 |
| Square root | 205.377701 (= 2√10545) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.218 × |
42180 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and eighty |
| Binary (base 2) | 1010010011000100 |
| Octal (base 8) | 122304 |
| Hexadecimal (base 16) | A4C4 |
| Base 3 | 2010212020 |
| As time | 42180 seconds = 11 h 43 min 0 s |
Is 42180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42180 ÷ 2 = 21090) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42180 ÷ 3 = 14060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42180 ÷ 4 = 10545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42180 ÷ 5 = 8436) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42180 ÷ 6 = 7030) | 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 4) | 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 | Yes (42180 ÷ 10 = 4218) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42180 ÷ 12 = 3515) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42180 a prime number?
No. 42180 = × 3 × 5 × 19 × 37, so it is divisible by 2.
What are the factors of 42180?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 37, 38, 57, 60, 74, 76, 95, 111, 114, 148, 185, 190, 222, 228, 285, 370, 380, 444, 555, 570, 703, 740, 1110, 1140, 1406, 2109, 2220, 2812, 3515, 4218, 7030, 8436, 10545, 14060, 21090, 42180.
What is 42180 in binary?
1010010011000100 (hexadecimal A4C4, octal 122304).
What is the square root of 42180?
About 205.3777, exactly 2√10545.
Is 42180 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42180?
42180 is a Harshad number: divisible by its digit sum 15.