The number 42764
42764 is a composite number with 6 divisors. Its prime factorisation is × 10691. Divisors (6): 1, 2, 4, 10691, 21382, 42764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42764 is composite. Its prime factorisation is
- 3
The divisors add up to 74844; without 42764 itself that is 32080, so 42764 is deficient (32080 is less than 42764). Euler's totient φ(42764) = 21380 numbers up to 42764 share no factor with it.
- 4
The digits of 42764 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42764 = 2^{2} \times 10691 \]42764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 74844 |
| Euler totient φ(n) | 21380 |
| Square | 1828759696 |
| Cube | 78205079639744 |
| Square root | 206.794584 (= 2√10691) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.2764 × |
42764 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty-four |
| Binary (base 2) | 1010011100001100 |
| Octal (base 8) | 123414 |
| Hexadecimal (base 16) | A70C |
| Base 3 | 2011122212 |
| As time | 42764 seconds = 11 h 52 min 44 s |
Is 42764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42764 ÷ 2 = 21382) | 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 (42764 ÷ 4 = 10691) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42764 a prime number?
No. 42764 = × 10691, so it is divisible by 2.
What are the factors of 42764?
1, 2, 4, 10691, 21382, 42764.
What is 42764 in binary?
1010011100001100 (hexadecimal A70C, octal 123414).
What is the square root of 42764?
About 206.7946, exactly 2√10691.
Is 42764 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42764?
It is a composite number with 6 divisors.