The number 11023
11023 is a composite number with 4 divisors. Its prime factorisation is 73 × 151. Divisors (4): 1, 73, 151, 11023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11023: a semiprime: 73 × 151, the product of two primes.
- 2
11023 is composite. Its prime factorisation is
- 3
The divisors add up to 11248; without 11023 itself that is 225, so 11023 is deficient (225 is less than 11023). Euler's totient φ(11023) = 10800 numbers up to 11023 share no factor with it.
- 4
The digits of 11023 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11023 = 73 \times 151 \]
11023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11248 |
| Euler totient φ(n) | 10800 |
| Square | 121506529 |
| Cube | 1339366469167 |
| Square root | 104.990476 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.1023 × |
11023 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and twenty-three |
| Binary (base 2) | 10101100001111 |
| Octal (base 8) | 25417 |
| Hexadecimal (base 16) | 2B0F |
| Base 3 | 120010021 |
| As time | 11023 seconds = 3 h 3 min 43 s |
Is 11023 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 1) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11023 a prime number?
No. 11023 = 73 × 151, so it is divisible by 73.
What are the factors of 11023?
1, 73, 151, 11023.
What is 11023 in binary?
10101100001111 (hexadecimal 2B0F, octal 25417).
What is the square root of 11023?
About 104.9905.
Is 11023 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 11023?
11023 is a semiprime: 73 × 151, the product of two primes.