The number 42464
42464 is a composite number with 12 divisors. Its prime factorisation is × 1327. Divisors (12): 1, 2, 4, 8, 16, 32, 1327, 2654, 5308, 10616, 21232, 42464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42464 is composite. Its prime factorisation is
- 3
The divisors add up to 83664; without 42464 itself that is 41200, so 42464 is deficient (41200 is less than 42464). Euler's totient φ(42464) = 21216 numbers up to 42464 share no factor with it.
- 4
The digits of 42464 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42464 = 2^{5} \times 1327 \]42464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83664 |
| Euler totient φ(n) | 21216 |
| Square | 1803191296 |
| Cube | 76570715193344 |
| Square root | 206.067950 (= 4√2654) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2464 × |
42464 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixty-four |
| Binary (base 2) | 1010010111100000 |
| Octal (base 8) | 122740 |
| Hexadecimal (base 16) | A5E0 |
| Base 3 | 2011020202 |
| As time | 42464 seconds = 11 h 47 min 44 s |
Is 42464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42464 ÷ 2 = 21232) | 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 (42464 ÷ 4 = 10616) | 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 2) | 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 (42464 ÷ 8 = 5308) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42464 a prime number?
No. 42464 = × 1327, so it is divisible by 2.
What are the factors of 42464?
1, 2, 4, 8, 16, 32, 1327, 2654, 5308, 10616, 21232, 42464.
What is 42464 in binary?
1010010111100000 (hexadecimal A5E0, octal 122740).
What is the square root of 42464?
About 206.0679, exactly 4√2654.
Is 42464 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42464?
It is a composite number with 12 divisors.