The number 41031
41031 is a composite number with 12 divisors. Its prime factorisation is × 47 × 97. Divisors (12): 1, 3, 9, 47, 97, 141, 291, 423, 873, 4559, 13677, 41031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41031: a Harshad number: divisible by its digit sum 9.
- 2
41031 is composite. Its prime factorisation is
- 3
The divisors add up to 61152; without 41031 itself that is 20121, so 41031 is deficient (20121 is less than 41031). Euler's totient φ(41031) = 26496 numbers up to 41031 share no factor with it.
- 4
The digits of 41031 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 243 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41031 = 3^{2} \times 47 \times 97 \]41031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61152 |
| Euler totient φ(n) | 26496 |
| Square | 1683542961 |
| Cube | 69077451232791 |
| Square root | 202.561102 (= 3√4559) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 243 |
| Scientific notation | 4.1031 × |
41031 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand and thirty-one |
| Binary (base 2) | 1010000001000111 |
| Octal (base 8) | 120107 |
| Hexadecimal (base 16) | A047 |
| Base 3 | 2002021200 |
| As time | 41031 seconds = 11 h 23 min 51 s |
Is 41031 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 (41031 ÷ 3 = 13677) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (41031 ÷ 9 = 4559) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41031 a prime number?
No. 41031 = × 47 × 97, so it is divisible by 3.
What are the factors of 41031?
1, 3, 9, 47, 97, 141, 291, 423, 873, 4559, 13677, 41031.
What is 41031 in binary?
1010000001000111 (hexadecimal A047, octal 120107).
What is the square root of 41031?
About 202.5611, exactly 3√4559.
Is 41031 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 41031?
41031 is a Harshad number: divisible by its digit sum 9.