The number 11026
11026 is a triangular number: 1 + 2 + … + 148 = 11026. Its prime factorisation is 2 × 37 × 149. Divisors (8): 1, 2, 37, 74, 149, 298, 5513, 11026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11026: a triangular number: 1 + 2 + … + 148 = 11026.
- 2
11026 is composite. Its prime factorisation is
- 3
The divisors add up to 17100; without 11026 itself that is 6074, so 11026 is deficient (6074 is less than 11026). Euler's totient φ(11026) = 5328 numbers up to 11026 share no factor with it.
- 4
The digits of 11026 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11026 = 2 \times 37 \times 149 \]
11026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17100 |
| Euler totient φ(n) | 5328 |
| Square | 121572676 |
| Cube | 1340460325576 |
| Square root | 105.004762 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1026 × |
11026 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty-six |
| Binary (base 2) | 10101100010010 |
| Octal (base 8) | 25422 |
| Hexadecimal (base 16) | 2B12 |
| Base 3 | 120010101 |
| As time | 11026 seconds = 3 h 3 min 46 s |
Is 11026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11026 ÷ 2 = 5513) | 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 1) | 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 2) | 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 11026 a prime number?
No. 11026 = 2 × 37 × 149, so it is divisible by 2.
What are the factors of 11026?
1, 2, 37, 74, 149, 298, 5513, 11026.
What is 11026 in binary?
10101100010010 (hexadecimal 2B12, octal 25422).
What is the square root of 11026?
About 105.0048.
Is 11026 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11026?
11026 is a triangular number: 1 + 2 + … + 148 = 11026.