The number 1126
1126 is a composite number with 4 divisors. Its prime factorisation is 2 × 563. Divisors (4): 1, 2, 563, 1126.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1126: a semiprime: 2 × 563, the product of two primes.
- 2
1126 is composite. Its prime factorisation is
- 3
The divisors add up to 1692; without 1126 itself that is 566, so 1126 is deficient (566 is less than 1126). Euler's totient φ(1126) = 562 numbers up to 1126 share no factor with it.
- 4
The digits of 1126 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1126 = 2 \times 563 \]
1126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1692 |
| Euler totient φ(n) | 562 |
| Square | 1267876 |
| Cube | 1427628376 |
| Square root | 33.555923 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.126 × |
1126 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twenty-six |
| Roman numerals | MCXXVI |
| Binary (base 2) | 10001100110 |
| Octal (base 8) | 2146 |
| Hexadecimal (base 16) | 466 |
| Base 3 | 1112201 |
| As time | 1126 seconds = 18 min 46 s |
Is 1126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1126 ÷ 2 = 563) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1126 a prime number?
No. 1126 = 2 × 563, so it is divisible by 2.
What are the factors of 1126?
1, 2, 563, 1126.
What is 1126 in binary?
10001100110 (hexadecimal 466, octal 2146).
What is the square root of 1126?
About 33.5559.
What is 1126 in Roman numerals?
MCXXVI.
Is 1126 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1126?
1126 is a semiprime: 2 × 563, the product of two primes.