The number 31041
31041 is a composite number with 6 divisors. Its prime factorisation is × 3449. Divisors (6): 1, 3, 9, 3449, 10347, 31041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31041: a Harshad number: divisible by its digit sum 9.
- 2
31041 is composite. Its prime factorisation is
- 3
The divisors add up to 44850; without 31041 itself that is 13809, so 31041 is deficient (13809 is less than 31041). Euler's totient φ(31041) = 20688 numbers up to 31041 share no factor with it.
- 4
The digits of 31041 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31041 = 3^{2} \times 3449 \]31041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 44850 |
| Euler totient φ(n) | 20688 |
| Square | 963543681 |
| Cube | 29909359401921 |
| Square root | 176.184562 (= 3√3449) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1041 × |
31041 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and forty-one |
| Binary (base 2) | 111100101000001 |
| Octal (base 8) | 74501 |
| Hexadecimal (base 16) | 7941 |
| Base 3 | 1120120200 |
| As time | 31041 seconds = 8 h 37 min 21 s |
Is 31041 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 (31041 ÷ 3 = 10347) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31041 ÷ 9 = 3449) | 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 10) | 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 31041 a prime number?
No. 31041 = × 3449, so it is divisible by 3.
What are the factors of 31041?
1, 3, 9, 3449, 10347, 31041.
What is 31041 in binary?
111100101000001 (hexadecimal 7941, octal 74501).
What is the square root of 31041?
About 176.1846, exactly 3√3449.
Is 31041 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31041?
31041 is a Harshad number: divisible by its digit sum 9.