The number 42177
42177 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 827. Divisors (8): 1, 3, 17, 51, 827, 2481, 14059, 42177.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42177 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42177 is composite. Its prime factorisation is
- 3
The divisors add up to 59616; without 42177 itself that is 17439, so 42177 is deficient (17439 is less than 42177). Euler's totient φ(42177) = 26432 numbers up to 42177 share no factor with it.
- 4
The digits of 42177 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42177 = 3 \times 17 \times 827 \]
42177 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59616 |
| Euler totient φ(n) | 26432 |
| Square | 1778899329 |
| Cube | 75028636999233 |
| Square root | 205.370397 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2177 × |
42177 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-seven |
| Binary (base 2) | 1010010011000001 |
| Octal (base 8) | 122301 |
| Hexadecimal (base 16) | A4C1 |
| Base 3 | 2010212010 |
| As time | 42177 seconds = 11 h 42 min 57 s |
Is 42177 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 (42177 ÷ 3 = 14059) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 2) | 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 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42177 a prime number?
No. 42177 = 3 × 17 × 827, so it is divisible by 3.
What are the factors of 42177?
1, 3, 17, 51, 827, 2481, 14059, 42177.
What is 42177 in binary?
1010010011000001 (hexadecimal A4C1, octal 122301).
What is the square root of 42177?
About 205.3704.
Is 42177 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42177?
It is a composite number with 8 divisors.