The number 42664
42664 is a composite number with 8 divisors. Its prime factorisation is × 5333. Divisors (8): 1, 2, 4, 8, 5333, 10666, 21332, 42664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42664 is composite. Its prime factorisation is
- 3
The divisors add up to 80010; without 42664 itself that is 37346, so 42664 is deficient (37346 is less than 42664). Euler's totient φ(42664) = 21328 numbers up to 42664 share no factor with it.
- 4
The digits of 42664 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42664 = 2^{3} \times 5333 \]42664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80010 |
| Euler totient φ(n) | 21328 |
| Square | 1820216896 |
| Cube | 77657733650944 |
| Square root | 206.552657 (= 2√10666) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2664 × |
42664 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty-four |
| Binary (base 2) | 1010011010101000 |
| Octal (base 8) | 123250 |
| Hexadecimal (base 16) | A6A8 |
| Base 3 | 2011112011 |
| As time | 42664 seconds = 11 h 51 min 4 s |
Is 42664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42664 ÷ 2 = 21332) | 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 (42664 ÷ 4 = 10666) | 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 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 | Yes (42664 ÷ 8 = 5333) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 42664 a prime number?
No. 42664 = × 5333, so it is divisible by 2.
What are the factors of 42664?
1, 2, 4, 8, 5333, 10666, 21332, 42664.
What is 42664 in binary?
1010011010101000 (hexadecimal A6A8, octal 123250).
What is the square root of 42664?
About 206.5527, exactly 2√10666.
Is 42664 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42664?
It is a composite number with 8 divisors.