The number 41001
41001 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 173. Divisors (8): 1, 3, 79, 173, 237, 519, 13667, 41001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41001 is composite. Its prime factorisation is
- 3
The divisors add up to 55680; without 41001 itself that is 14679, so 41001 is deficient (14679 is less than 41001). Euler's totient φ(41001) = 26832 numbers up to 41001 share no factor with it.
- 4
The digits of 41001 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41001 = 3 \times 79 \times 173 \]
41001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55680 |
| Euler totient φ(n) | 26832 |
| Square | 1681082001 |
| Cube | 68926043123001 |
| Square root | 202.487037 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.1001 × |
41001 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and one |
| Binary (base 2) | 1010000000101001 |
| Octal (base 8) | 120051 |
| Hexadecimal (base 16) | A029 |
| Base 3 | 2002020120 |
| As time | 41001 seconds = 11 h 23 min 21 s |
Is 41001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (41001 ÷ 3 = 13667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41001 a prime number?
No. 41001 = 3 × 79 × 173, so it is divisible by 3.
What are the factors of 41001?
1, 3, 79, 173, 237, 519, 13667, 41001.
What is 41001 in binary?
1010000000101001 (hexadecimal A029, octal 120051).
What is the square root of 41001?
About 202.4870.
Is 41001 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 41001?
It is a composite number with 8 divisors.