The number 42360
42360 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 353. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 42360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42360: a Harshad number: divisible by its digit sum 15.
- 2
42360 is composite. Its prime factorisation is
- 3
The divisors add up to 127440; without 42360 itself that is 85080, so 42360 is abundant (85080 is more than 42360). Euler's totient φ(42360) = 11264 numbers up to 42360 share no factor with it.
- 4
The digits of 42360 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
\[ 42360 = 2^{3} \times 3 \times 5 \times 353 \]42360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 127440 |
| Euler totient φ(n) | 11264 |
| Square | 1794369600 |
| Cube | 76009496256000 |
| Square root | 205.815451 (= 2√10590) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.236 × |
42360 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and sixty |
| Binary (base 2) | 1010010101111000 |
| Octal (base 8) | 122570 |
| Hexadecimal (base 16) | A578 |
| Base 3 | 2011002220 |
| As time | 42360 seconds = 11 h 46 min 0 s |
Is 42360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42360 ÷ 2 = 21180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42360 ÷ 3 = 14120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42360 ÷ 4 = 10590) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42360 ÷ 5 = 8472) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42360 ÷ 6 = 7060) | 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 | Yes (42360 ÷ 8 = 5295) | 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 (42360 ÷ 10 = 4236) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42360 ÷ 12 = 3530) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42360 a prime number?
No. 42360 = × 3 × 5 × 353, so it is divisible by 2.
What are the factors of 42360?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 353, 706, 1059, 1412, 1765, 2118, 2824, 3530, 4236, 5295, 7060, 8472, 10590, 14120, 21180, 42360.
What is 42360 in binary?
1010010101111000 (hexadecimal A578, octal 122570).
What is the square root of 42360?
About 205.8155, exactly 2√10590.
Is 42360 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42360?
42360 is a Harshad number: divisible by its digit sum 15.