The number 42076
42076 is a composite number with 12 divisors. Its prime factorisation is × 67 × 157. Divisors (12): 1, 2, 4, 67, 134, 157, 268, 314, 628, 10519, 21038, 42076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42076 is composite. Its prime factorisation is
- 3
The divisors add up to 75208; without 42076 itself that is 33132, so 42076 is deficient (33132 is less than 42076). Euler's totient φ(42076) = 20592 numbers up to 42076 share no factor with it.
- 4
The digits of 42076 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42076 = 2^{2} \times 67 \times 157 \]42076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75208 |
| Euler totient φ(n) | 20592 |
| Square | 1770389776 |
| Cube | 74490920214976 |
| Square root | 205.124353 (= 2√10519) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2076 × |
42076 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventy-six |
| Binary (base 2) | 1010010001011100 |
| Octal (base 8) | 122134 |
| Hexadecimal (base 16) | A45C |
| Base 3 | 2010201101 |
| As time | 42076 seconds = 11 h 41 min 16 s |
Is 42076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42076 ÷ 2 = 21038) | 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 | Yes (42076 ÷ 4 = 10519) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42076 a prime number?
No. 42076 = × 67 × 157, so it is divisible by 2.
What are the factors of 42076?
1, 2, 4, 67, 134, 157, 268, 314, 628, 10519, 21038, 42076.
What is 42076 in binary?
1010010001011100 (hexadecimal A45C, octal 122134).
What is the square root of 42076?
About 205.1244, exactly 2√10519.
Is 42076 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42076?
It is a composite number with 12 divisors.