The number 42762
42762 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7127. Divisors (8): 1, 2, 3, 6, 7127, 14254, 21381, 42762.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42762: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42762 is composite. Its prime factorisation is
- 3
The divisors add up to 85536; without 42762 itself that is 42774, so 42762 is abundant (42774 is more than 42762). Euler's totient φ(42762) = 14252 numbers up to 42762 share no factor with it.
- 4
The digits of 42762 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42762 = 2 \times 3 \times 7127 \]
42762 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85536 |
| Euler totient φ(n) | 14252 |
| Square | 1828588644 |
| Cube | 78194107594728 |
| Square root | 206.789748 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2762 × |
42762 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty-two |
| Binary (base 2) | 1010011100001010 |
| Octal (base 8) | 123412 |
| Hexadecimal (base 16) | A70A |
| Base 3 | 2011122210 |
| As time | 42762 seconds = 11 h 52 min 42 s |
Is 42762 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42762 ÷ 2 = 21381) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42762 ÷ 3 = 14254) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42762 ÷ 6 = 7127) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42762 a prime number?
No. 42762 = 2 × 3 × 7127, so it is divisible by 2.
What are the factors of 42762?
1, 2, 3, 6, 7127, 14254, 21381, 42762.
What is 42762 in binary?
1010011100001010 (hexadecimal A70A, octal 123412).
What is the square root of 42762?
About 206.7897.
Is 42762 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42762?
42762 is a happy number: repeatedly adding the squares of its digits reaches 1.