The number 42775
42775 is a composite number with 12 divisors. Its prime factorisation is × 29 × 59. Divisors (12): 1, 5, 25, 29, 59, 145, 295, 725, 1475, 1711, 8555, 42775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42775: a Harshad number: divisible by its digit sum 25.
- 2
42775 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 42775 itself that is 13025, so 42775 is deficient (13025 is less than 42775). Euler's totient φ(42775) = 32480 numbers up to 42775 share no factor with it.
- 4
The digits of 42775 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42775 = 5^{2} \times 29 \times 59 \]42775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 32480 |
| Square | 1829700625 |
| Cube | 78265444234375 |
| Square root | 206.821179 (= 5√1711) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2775 × |
42775 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and seventy-five |
| Binary (base 2) | 1010011100010111 |
| Octal (base 8) | 123427 |
| Hexadecimal (base 16) | A717 |
| Base 3 | 2011200021 |
| As time | 42775 seconds = 11 h 52 min 55 s |
Is 42775 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 | No (remainder 1) | 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 | Yes (42775 ÷ 5 = 8555) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42775 a prime number?
No. 42775 = × 29 × 59, so it is divisible by 5.
What are the factors of 42775?
1, 5, 25, 29, 59, 145, 295, 725, 1475, 1711, 8555, 42775.
What is 42775 in binary?
1010011100010111 (hexadecimal A717, octal 123427).
What is the square root of 42775?
About 206.8212, exactly 5√1711.
Is 42775 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42775?
42775 is a Harshad number: divisible by its digit sum 25.