The number 42660
42660 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 79. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 42660.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42660: a Harshad number: divisible by its digit sum 18.
- 2
42660 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 42660 itself that is 91740, so 42660 is abundant (91740 is more than 42660). Euler's totient φ(42660) = 11232 numbers up to 42660 share no factor with it.
- 4
The digits of 42660 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42660 = 2^{2} \times 3^{3} \times 5 \times 79 \]42660 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 11232 |
| Square | 1819875600 |
| Cube | 77635893096000 |
| Square root | 206.542974 (= 6√1185) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.266 × |
42660 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty |
| Binary (base 2) | 1010011010100100 |
| Octal (base 8) | 123244 |
| Hexadecimal (base 16) | A6A4 |
| Base 3 | 2011112000 |
| As time | 42660 seconds = 11 h 51 min 0 s |
Is 42660 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42660 ÷ 2 = 21330) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42660 ÷ 3 = 14220) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42660 ÷ 4 = 10665) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42660 ÷ 5 = 8532) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42660 ÷ 6 = 7110) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (42660 ÷ 9 = 4740) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42660 ÷ 10 = 4266) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42660 ÷ 12 = 3555) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42660 a prime number?
No. 42660 = × × 5 × 79, so it is divisible by 2.
What are the factors of 42660?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 79, 90, 108, 135, 158, 180, 237, 270, 316, 395, 474, 540, 711, 790, 948, 1185, 1422, 1580, 2133, 2370, 2844, 3555, 4266, 4740, 7110, 8532, 10665, 14220, 21330, 42660.
What is 42660 in binary?
1010011010100100 (hexadecimal A6A4, octal 123244).
What is the square root of 42660?
About 206.5430, exactly 6√1185.
Is 42660 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42660?
42660 is a Harshad number: divisible by its digit sum 18.