The number 41380
41380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2069. Divisors (12): 1, 2, 4, 5, 10, 20, 2069, 4138, 8276, 10345, 20690, 41380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41380 is composite. Its prime factorisation is
- 3
The divisors add up to 86940; without 41380 itself that is 45560, so 41380 is abundant (45560 is more than 41380). Euler's totient φ(41380) = 16544 numbers up to 41380 share no factor with it.
- 4
The digits of 41380 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41380 = 2^{2} \times 5 \times 2069 \]41380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86940 |
| Euler totient φ(n) | 16544 |
| Square | 1712304400 |
| Cube | 70855156072000 |
| Square root | 203.420746 (= 2√10345) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.138 × |
41380 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand three hundred and eighty |
| Binary (base 2) | 1010000110100100 |
| Octal (base 8) | 120644 |
| Hexadecimal (base 16) | A1A4 |
| Base 3 | 2002202121 |
| As time | 41380 seconds = 11 h 29 min 40 s |
Is 41380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41380 ÷ 2 = 20690) | 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 (41380 ÷ 4 = 10345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41380 ÷ 5 = 8276) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41380 ÷ 10 = 4138) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 41380 a prime number?
No. 41380 = × 5 × 2069, so it is divisible by 2.
What are the factors of 41380?
1, 2, 4, 5, 10, 20, 2069, 4138, 8276, 10345, 20690, 41380.
What is 41380 in binary?
1010000110100100 (hexadecimal A1A4, octal 120644).
What is the square root of 41380?
About 203.4207, exactly 2√10345.
Is 41380 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 41380?
It is a composite number with 12 divisors.