The number 1046
1046 is a composite number with 4 divisors. Its prime factorisation is 2 × 523. Divisors (4): 1, 2, 523, 1046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1046: a semiprime: 2 × 523, the product of two primes.
- 2
1046 is composite. Its prime factorisation is
- 3
The divisors add up to 1572; without 1046 itself that is 526, so 1046 is deficient (526 is less than 1046). Euler's totient φ(1046) = 522 numbers up to 1046 share no factor with it.
- 4
The digits of 1046 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1046 = 2 \times 523 \]
1046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1572 |
| Euler totient φ(n) | 522 |
| Square | 1094116 |
| Cube | 1144445336 |
| Square root | 32.341923 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 1.046 × |
1046 in other forms
| Form | Value |
|---|---|
| In words | one thousand and forty-six |
| Roman numerals | MXLVI |
| Binary (base 2) | 10000010110 |
| Octal (base 8) | 2026 |
| Hexadecimal (base 16) | 416 |
| Base 3 | 1102202 |
| As time | 1046 seconds = 17 min 26 s |
Is 1046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1046 ÷ 2 = 523) | 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 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1046 a prime number?
No. 1046 = 2 × 523, so it is divisible by 2.
What are the factors of 1046?
1, 2, 523, 1046.
What is 1046 in binary?
10000010110 (hexadecimal 416, octal 2026).
What is the square root of 1046?
About 32.3419.
What is 1046 in Roman numerals?
MXLVI.
Is 1046 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1046?
1046 is a semiprime: 2 × 523, the product of two primes.