The number 42690
42690 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1423. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1423, 2846, 4269, 7115, 8538, 14230, 21345, 42690.
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How to work it out
- 1
42690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42690 is composite. Its prime factorisation is
- 3
The divisors add up to 102528; without 42690 itself that is 59838, so 42690 is abundant (59838 is more than 42690). Euler's totient φ(42690) = 11376 numbers up to 42690 share no factor with it.
- 4
The digits of 42690 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42690 = 2 \times 3 \times 5 \times 1423 \]
42690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102528 |
| Euler totient φ(n) | 11376 |
| Square | 1822436100 |
| Cube | 77799797109000 |
| Square root | 206.615585 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.269 × |
42690 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and ninety |
| Binary (base 2) | 1010011011000010 |
| Octal (base 8) | 123302 |
| Hexadecimal (base 16) | A6C2 |
| Base 3 | 2011120010 |
| As time | 42690 seconds = 11 h 51 min 30 s |
Is 42690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42690 ÷ 2 = 21345) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42690 ÷ 3 = 14230) | 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 (42690 ÷ 5 = 8538) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42690 ÷ 6 = 7115) | 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 2) | 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 (42690 ÷ 10 = 4269) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42690 a prime number?
No. 42690 = 2 × 3 × 5 × 1423, so it is divisible by 2.
What are the factors of 42690?
1, 2, 3, 5, 6, 10, 15, 30, 1423, 2846, 4269, 7115, 8538, 14230, 21345, 42690.
What is 42690 in binary?
1010011011000010 (hexadecimal A6C2, octal 123302).
What is the square root of 42690?
About 206.6156.
Is 42690 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42690?
It is a composite number with 16 divisors.