The number 42944
42944 is a composite number with 28 divisors. Its prime factorisation is × 11 × 61. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 64, 88, 122, 176, 244, 352 … 42944.
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How to work it out
- 1
What is special about 42944: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42944 is composite. Its prime factorisation is
- 3
The divisors add up to 94488; without 42944 itself that is 51544, so 42944 is abundant (51544 is more than 42944). Euler's totient φ(42944) = 19200 numbers up to 42944 share no factor with it.
- 4
The digits of 42944 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42944 = 2^{6} \times 11 \times 61 \]42944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 94488 |
| Euler totient φ(n) | 19200 |
| Square | 1844187136 |
| Cube | 79196772368384 |
| Square root | 207.229342 (= 8√671) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2944 × |
42944 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and forty-four |
| Binary (base 2) | 1010011111000000 |
| Octal (base 8) | 123700 |
| Hexadecimal (base 16) | A7C0 |
| Base 3 | 2011220112 |
| As time | 42944 seconds = 11 h 55 min 44 s |
Is 42944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42944 ÷ 2 = 21472) | 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 (42944 ÷ 4 = 10736) | 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 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 (42944 ÷ 8 = 5368) | 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 | Yes (42944 ÷ 11 = 3904) | 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 42944 a prime number?
No. 42944 = × 11 × 61, so it is divisible by 2.
What are the factors of 42944?
1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 64, 88, 122, 176, 244, 352, 488, 671, 704, 976, 1342, 1952, 2684, 3904, 5368, 10736, 21472, 42944.
What is 42944 in binary?
1010011111000000 (hexadecimal A7C0, octal 123700).
What is the square root of 42944?
About 207.2293, exactly 8√671.
Is 42944 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42944?
42944 is a happy number: repeatedly adding the squares of its digits reaches 1.