The number 42770
42770 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 13 × 47. Divisors (32): 1, 2, 5, 7, 10, 13, 14, 26, 35, 47, 65, 70, 91, 94, 130, 182 … 42770.
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How to work it out
- 1
42770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42770 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 42770 itself that is 53998, so 42770 is abundant (53998 is more than 42770). Euler's totient φ(42770) = 13248 numbers up to 42770 share no factor with it.
- 4
The digits of 42770 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42770 = 2 \times 5 \times 7 \times 13 \times 47 \]
42770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 13248 |
| Square | 1829272900 |
| Cube | 78238001933000 |
| Square root | 206.809091 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.277 × |
42770 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and seventy |
| Binary (base 2) | 1010011100010010 |
| Octal (base 8) | 123422 |
| Hexadecimal (base 16) | A712 |
| Base 3 | 2011200002 |
| As time | 42770 seconds = 11 h 52 min 50 s |
Is 42770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42770 ÷ 2 = 21385) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42770 ÷ 5 = 8554) | 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 | Yes (42770 ÷ 7 = 6110) | 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 2) | 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 | Yes (42770 ÷ 10 = 4277) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42770 a prime number?
No. 42770 = 2 × 5 × 7 × 13 × 47, so it is divisible by 2.
What are the factors of 42770?
1, 2, 5, 7, 10, 13, 14, 26, 35, 47, 65, 70, 91, 94, 130, 182, 235, 329, 455, 470, 611, 658, 910, 1222, 1645, 3055, 3290, 4277, 6110, 8554, 21385, 42770.
What is 42770 in binary?
1010011100010010 (hexadecimal A712, octal 123422).
What is the square root of 42770?
About 206.8091.
Is 42770 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42770?
It is a composite number with 32 divisors.