The number 1043
1043 is a composite number with 4 divisors. Its prime factorisation is 7 × 149. Divisors (4): 1, 7, 149, 1043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1043: a semiprime: 7 × 149, the product of two primes.
- 2
1043 is composite. Its prime factorisation is
- 3
The divisors add up to 1200; without 1043 itself that is 157, so 1043 is deficient (157 is less than 1043). Euler's totient φ(1043) = 888 numbers up to 1043 share no factor with it.
- 4
The digits of 1043 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1043 = 7 \times 149 \]
1043 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1200 |
| Euler totient φ(n) | 888 |
| Square | 1087849 |
| Cube | 1134626507 |
| Square root | 32.295511 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.043 × |
1043 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-three |
| Roman numerals | MXLIII |
| Binary (base 2) | 10000010011 |
| Octal (base 8) | 2023 |
| Hexadecimal (base 16) | 413 |
| Base 3 | 1102122 |
| As time | 1043 seconds = 17 min 23 s |
Is 1043 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 | No (remainder 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1043 ÷ 7 = 149) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1043 a prime number?
No. 1043 = 7 × 149, so it is divisible by 7.
What are the factors of 1043?
1, 7, 149, 1043.
What is 1043 in binary?
10000010011 (hexadecimal 413, octal 2023).
What is the square root of 1043?
About 32.2955.
What is 1043 in Roman numerals?
MXLIII.
Is 1043 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1043?
1043 is a semiprime: 7 × 149, the product of two primes.