The number 42176
42176 is a composite number with 14 divisors. Its prime factorisation is × 659. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 659, 1318, 2636, 5272, 10544, 21088, 42176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42176 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42176 is composite. Its prime factorisation is
- 3
The divisors add up to 83820; without 42176 itself that is 41644, so 42176 is deficient (41644 is less than 42176). Euler's totient φ(42176) = 21056 numbers up to 42176 share no factor with it.
- 4
The digits of 42176 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42176 = 2^{6} \times 659 \]42176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 83820 |
| Euler totient φ(n) | 21056 |
| Square | 1778814976 |
| Cube | 75023300427776 |
| Square root | 205.367962 (= 8√659) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2176 × |
42176 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-six |
| Binary (base 2) | 1010010011000000 |
| Octal (base 8) | 122300 |
| Hexadecimal (base 16) | A4C0 |
| Base 3 | 2010212002 |
| As time | 42176 seconds = 11 h 42 min 56 s |
Is 42176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42176 ÷ 2 = 21088) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42176 ÷ 4 = 10544) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (42176 ÷ 8 = 5272) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42176 a prime number?
No. 42176 = × 659, so it is divisible by 2.
What are the factors of 42176?
1, 2, 4, 8, 16, 32, 64, 659, 1318, 2636, 5272, 10544, 21088, 42176.
What is 42176 in binary?
1010010011000000 (hexadecimal A4C0, octal 122300).
What is the square root of 42176?
About 205.3680, exactly 8√659.
Is 42176 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42176?
It is a composite number with 14 divisors.