The number 42077
42077 is a composite number with 4 divisors. Its prime factorisation is 7 × 6011. Divisors (4): 1, 7, 6011, 42077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42077: a semiprime: 7 × 6011, the product of two primes.
- 2
42077 is composite. Its prime factorisation is
- 3
The divisors add up to 48096; without 42077 itself that is 6019, so 42077 is deficient (6019 is less than 42077). Euler's totient φ(42077) = 36060 numbers up to 42077 share no factor with it.
- 4
The digits of 42077 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42077 = 7 \times 6011 \]
42077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48096 |
| Euler totient φ(n) | 36060 |
| Square | 1770473929 |
| Cube | 74496231510533 |
| Square root | 205.126790 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2077 × |
42077 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventy-seven |
| Binary (base 2) | 1010010001011101 |
| Octal (base 8) | 122135 |
| Hexadecimal (base 16) | A45D |
| Base 3 | 2010201102 |
| As time | 42077 seconds = 11 h 41 min 17 s |
Is 42077 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42077 ÷ 7 = 6011) | 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 5) | 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 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42077 a prime number?
No. 42077 = 7 × 6011, so it is divisible by 7.
What are the factors of 42077?
1, 7, 6011, 42077.
What is 42077 in binary?
1010010001011101 (hexadecimal A45D, octal 122135).
What is the square root of 42077?
About 205.1268.
Is 42077 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42077?
42077 is a semiprime: 7 × 6011, the product of two primes.