The number 42630
42630 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × × 29. Divisors (48): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 49, 58 … 42630.
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How to work it out
- 1
What is special about 42630: a Harshad number: divisible by its digit sum 15.
- 2
42630 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 42630 itself that is 80490, so 42630 is abundant (80490 is more than 42630). Euler's totient φ(42630) = 9408 numbers up to 42630 share no factor with it.
- 4
The digits of 42630 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42630 = 2 \times 3 \times 5 \times 7^{2} \times 29 \]42630 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 9408 |
| Square | 1817316900 |
| Cube | 77472219447000 |
| Square root | 206.470337 (= 7√870) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.263 × |
42630 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and thirty |
| Binary (base 2) | 1010011010000110 |
| Octal (base 8) | 123206 |
| Hexadecimal (base 16) | A686 |
| Base 3 | 2011110220 |
| As time | 42630 seconds = 11 h 50 min 30 s |
Is 42630 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42630 ÷ 2 = 21315) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42630 ÷ 3 = 14210) | 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 (42630 ÷ 5 = 8526) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42630 ÷ 6 = 7105) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42630 ÷ 7 = 6090) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42630 ÷ 10 = 4263) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 42630 a prime number?
No. 42630 = 2 × 3 × 5 × × 29, so it is divisible by 2.
What are the factors of 42630?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 49, 58, 70, 87, 98, 105, 145, 147, 174, 203, 210, 245, 290, 294, 406, 435, 490, 609, 735, 870, 1015, 1218, 1421, 1470, 2030, 2842, 3045, 4263, 6090, 7105, 8526, 14210, 21315, 42630.
What is 42630 in binary?
1010011010000110 (hexadecimal A686, octal 123206).
What is the square root of 42630?
About 206.4703, exactly 7√870.
Is 42630 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42630?
42630 is a Harshad number: divisible by its digit sum 15.