The number 42606
42606 is a composite number with 20 divisors. Its prime factorisation is 2 × × 263. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 263, 526, 789, 1578, 2367, 4734 … 42606.
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How to work it out
- 1
What is special about 42606: a Harshad number: divisible by its digit sum 18.
- 2
42606 is composite. Its prime factorisation is
- 3
The divisors add up to 95832; without 42606 itself that is 53226, so 42606 is abundant (53226 is more than 42606). Euler's totient φ(42606) = 14148 numbers up to 42606 share no factor with it.
- 4
The digits of 42606 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42606 = 2 \times 3^{4} \times 263 \]42606 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 95832 |
| Euler totient φ(n) | 14148 |
| Square | 1815271236 |
| Cube | 77341446281016 |
| Square root | 206.412209 (= 9√526) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2606 × |
42606 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and six |
| Binary (base 2) | 1010011001101110 |
| Octal (base 8) | 123156 |
| Hexadecimal (base 16) | A66E |
| Base 3 | 2011110000 |
| As time | 42606 seconds = 11 h 50 min 6 s |
Is 42606 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42606 ÷ 2 = 21303) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42606 ÷ 3 = 14202) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42606 ÷ 6 = 7101) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42606 ÷ 9 = 4734) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42606 a prime number?
No. 42606 = 2 × × 263, so it is divisible by 2.
What are the factors of 42606?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 263, 526, 789, 1578, 2367, 4734, 7101, 14202, 21303, 42606.
What is 42606 in binary?
1010011001101110 (hexadecimal A66E, octal 123156).
What is the square root of 42606?
About 206.4122, exactly 9√526.
Is 42606 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42606?
42606 is a Harshad number: divisible by its digit sum 18.