The number 1041
1041 is a composite number with 4 divisors. Its prime factorisation is 3 × 347. Divisors (4): 1, 3, 347, 1041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1041: a semiprime: 3 × 347, the product of two primes.
- 2
1041 is composite. Its prime factorisation is
- 3
The divisors add up to 1392; without 1041 itself that is 351, so 1041 is deficient (351 is less than 1041). Euler's totient φ(1041) = 692 numbers up to 1041 share no factor with it.
- 4
The digits of 1041 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 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1041 = 3 \times 347 \]
1041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1392 |
| Euler totient φ(n) | 692 |
| Square | 1083681 |
| Cube | 1128111921 |
| Square root | 32.264532 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.041 × |
1041 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-one |
| Roman numerals | MXLI |
| Binary (base 2) | 10000010001 |
| Octal (base 8) | 2021 |
| Hexadecimal (base 16) | 411 |
| Base 3 | 1102120 |
| As time | 1041 seconds = 17 min 21 s |
Is 1041 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 (1041 ÷ 3 = 347) | 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 5) | 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 7) | 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 1041 a prime number?
No. 1041 = 3 × 347, so it is divisible by 3.
What are the factors of 1041?
1, 3, 347, 1041.
What is 1041 in binary?
10000010001 (hexadecimal 411, octal 2021).
What is the square root of 1041?
About 32.2645.
What is 1041 in Roman numerals?
MXLI.
Is 1041 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1041?
1041 is a semiprime: 3 × 347, the product of two primes.