The number 42344
42344 is a composite number with 16 divisors. Its prime factorisation is × 67 × 79. Divisors (16): 1, 2, 4, 8, 67, 79, 134, 158, 268, 316, 536, 632, 5293, 10586, 21172, 42344.
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How to work it out
- 1
42344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42344 is composite. Its prime factorisation is
- 3
The divisors add up to 81600; without 42344 itself that is 39256, so 42344 is deficient (39256 is less than 42344). Euler's totient φ(42344) = 20592 numbers up to 42344 share no factor with it.
- 4
The digits of 42344 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42344 = 2^{3} \times 67 \times 79 \]42344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81600 |
| Euler totient φ(n) | 20592 |
| Square | 1793014336 |
| Cube | 75923399043584 |
| Square root | 205.776578 (= 2√10586) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2344 × |
42344 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and forty-four |
| Binary (base 2) | 1010010101101000 |
| Octal (base 8) | 122550 |
| Hexadecimal (base 16) | A568 |
| Base 3 | 2011002022 |
| As time | 42344 seconds = 11 h 45 min 44 s |
Is 42344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42344 ÷ 2 = 21172) | 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 (42344 ÷ 4 = 10586) | 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 | Yes (42344 ÷ 8 = 5293) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 42344 a prime number?
No. 42344 = × 67 × 79, so it is divisible by 2.
What are the factors of 42344?
1, 2, 4, 8, 67, 79, 134, 158, 268, 316, 536, 632, 5293, 10586, 21172, 42344.
What is 42344 in binary?
1010010101101000 (hexadecimal A568, octal 122550).
What is the square root of 42344?
About 205.7766, exactly 2√10586.
Is 42344 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42344?
It is a composite number with 16 divisors.