The number 42627
42627 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1093. Divisors (8): 1, 3, 13, 39, 1093, 3279, 14209, 42627.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42627: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42627 is composite. Its prime factorisation is
- 3
The divisors add up to 61264; without 42627 itself that is 18637, so 42627 is deficient (18637 is less than 42627). Euler's totient φ(42627) = 26208 numbers up to 42627 share no factor with it.
- 4
The digits of 42627 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42627 = 3 \times 13 \times 1093 \]
42627 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61264 |
| Euler totient φ(n) | 26208 |
| Square | 1817061129 |
| Cube | 77455864745883 |
| Square root | 206.463072 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2627 × |
42627 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and twenty-seven |
| Binary (base 2) | 1010011010000011 |
| Octal (base 8) | 123203 |
| Hexadecimal (base 16) | A683 |
| Base 3 | 2011110210 |
| As time | 42627 seconds = 11 h 50 min 27 s |
Is 42627 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42627 ÷ 3 = 14209) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42627 a prime number?
No. 42627 = 3 × 13 × 1093, so it is divisible by 3.
What are the factors of 42627?
1, 3, 13, 39, 1093, 3279, 14209, 42627.
What is 42627 in binary?
1010011010000011 (hexadecimal A683, octal 123203).
What is the square root of 42627?
About 206.4631.
Is 42627 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42627?
42627 is a happy number: repeatedly adding the squares of its digits reaches 1.