The number 41344
41344 is a composite number with 32 divisors. Its prime factorisation is × 17 × 19. Divisors (32): 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152 … 41344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41344: a Harshad number: divisible by its digit sum 16.
- 2
41344 is composite. Its prime factorisation is
- 3
The divisors add up to 91800; without 41344 itself that is 50456, so 41344 is abundant (50456 is more than 41344). Euler's totient φ(41344) = 18432 numbers up to 41344 share no factor with it.
- 4
The digits of 41344 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41344 = 2^{7} \times 17 \times 19 \]41344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 91800 |
| Euler totient φ(n) | 18432 |
| Square | 1709326336 |
| Cube | 70670388035584 |
| Square root | 203.332240 (= 8√646) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1344 × |
41344 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and forty-four |
| Binary (base 2) | 1010000110000000 |
| Octal (base 8) | 120600 |
| Hexadecimal (base 16) | A180 |
| Base 3 | 2002201021 |
| As time | 41344 seconds = 11 h 29 min 4 s |
Is 41344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41344 ÷ 2 = 20672) | 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 (41344 ÷ 4 = 10336) | 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 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 (41344 ÷ 8 = 5168) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 41344 a prime number?
No. 41344 = × 17 × 19, so it is divisible by 2.
What are the factors of 41344?
1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 5168, 10336, 20672, 41344.
What is 41344 in binary?
1010000110000000 (hexadecimal A180, octal 120600).
What is the square root of 41344?
About 203.3322, exactly 8√646.
Is 41344 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41344?
41344 is a Harshad number: divisible by its digit sum 16.