The number 41376
41376 is a composite number with 24 divisors. Its prime factorisation is × 3 × 431. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 431, 862, 1293, 1724 … 41376.
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How to work it out
- 1
41376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41376 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 41376 itself that is 67488, so 41376 is abundant (67488 is more than 41376). Euler's totient φ(41376) = 13760 numbers up to 41376 share no factor with it.
- 4
The digits of 41376 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41376 = 2^{5} \times 3 \times 431 \]41376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 13760 |
| Square | 1711973376 |
| Cube | 70834610405376 |
| Square root | 203.410914 (= 4√2586) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1376 × |
41376 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and seventy-six |
| Binary (base 2) | 1010000110100000 |
| Octal (base 8) | 120640 |
| Hexadecimal (base 16) | A1A0 |
| Base 3 | 2002202110 |
| As time | 41376 seconds = 11 h 29 min 36 s |
Is 41376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41376 ÷ 2 = 20688) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41376 ÷ 3 = 13792) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41376 ÷ 4 = 10344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41376 ÷ 6 = 6896) | 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 (41376 ÷ 8 = 5172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (41376 ÷ 12 = 3448) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41376 a prime number?
No. 41376 = × 3 × 431, so it is divisible by 2.
What are the factors of 41376?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 431, 862, 1293, 1724, 2586, 3448, 5172, 6896, 10344, 13792, 20688, 41376.
What is 41376 in binary?
1010000110100000 (hexadecimal A1A0, octal 120640).
What is the square root of 41376?
About 203.4109, exactly 4√2586.
Is 41376 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 41376?
It is a composite number with 24 divisors.