The number 41388
41388 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3449. Divisors (12): 1, 2, 3, 4, 6, 12, 3449, 6898, 10347, 13796, 20694, 41388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41388 is composite. Its prime factorisation is
- 3
The divisors add up to 96600; without 41388 itself that is 55212, so 41388 is abundant (55212 is more than 41388). Euler's totient φ(41388) = 13792 numbers up to 41388 share no factor with it.
- 4
The digits of 41388 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41388 = 2^{2} \times 3 \times 3449 \]41388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 96600 |
| Euler totient φ(n) | 13792 |
| Square | 1712966544 |
| Cube | 70896259323072 |
| Square root | 203.440409 (= 2√10347) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.1388 × |
41388 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and eighty-eight |
| Binary (base 2) | 1010000110101100 |
| Octal (base 8) | 120654 |
| Hexadecimal (base 16) | A1AC |
| Base 3 | 2002202220 |
| As time | 41388 seconds = 11 h 29 min 48 s |
Is 41388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41388 ÷ 2 = 20694) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41388 ÷ 3 = 13796) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41388 ÷ 4 = 10347) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (41388 ÷ 6 = 6898) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (41388 ÷ 12 = 3449) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41388 a prime number?
No. 41388 = × 3 × 3449, so it is divisible by 2.
What are the factors of 41388?
1, 2, 3, 4, 6, 12, 3449, 6898, 10347, 13796, 20694, 41388.
What is 41388 in binary?
1010000110101100 (hexadecimal A1AC, octal 120654).
What is the square root of 41388?
About 203.4404, exactly 2√10347.
Is 41388 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 41388?
It is a composite number with 12 divisors.