The number 41000
41000 is a composite number with 32 divisors. Its prime factorisation is × × 41. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 125, 164, 200 … 41000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41000: a Harshad number: divisible by its digit sum 5.
- 2
41000 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 41000 itself that is 57280, so 41000 is abundant (57280 is more than 41000). Euler's totient φ(41000) = 16000 numbers up to 41000 share no factor with it.
- 4
The digits of 41000 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41000 = 2^{3} \times 5^{3} \times 41 \]41000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 16000 |
| Square | 1681000000 |
| Cube | 68921000000000 |
| Square root | 202.484567 (= 10√410) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.1 × |
41000 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand |
| Binary (base 2) | 1010000000101000 |
| Octal (base 8) | 120050 |
| Hexadecimal (base 16) | A028 |
| Base 3 | 2002020112 |
| As time | 41000 seconds = 11 h 23 min 20 s |
Is 41000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41000 ÷ 2 = 20500) | 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 (41000 ÷ 4 = 10250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41000 ÷ 5 = 8200) | 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 1) | 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 (41000 ÷ 8 = 5125) | 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 | Yes (41000 ÷ 10 = 4100) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 41000 a prime number?
No. 41000 = × × 41, so it is divisible by 2.
What are the factors of 41000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 41, 50, 82, 100, 125, 164, 200, 205, 250, 328, 410, 500, 820, 1000, 1025, 1640, 2050, 4100, 5125, 8200, 10250, 20500, 41000.
What is 41000 in binary?
1010000000101000 (hexadecimal A028, octal 120050).
What is the square root of 41000?
About 202.4846, exactly 10√410.
Is 41000 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 41000?
41000 is a Harshad number: divisible by its digit sum 5.