The number 11838
11838 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1973. Divisors (8): 1, 2, 3, 6, 1973, 3946, 5919, 11838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11838: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11838 is composite. Its prime factorisation is
- 3
The divisors add up to 23688; without 11838 itself that is 11850, so 11838 is abundant (11850 is more than 11838). Euler's totient φ(11838) = 3944 numbers up to 11838 share no factor with it.
- 4
The digits of 11838 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11838 = 2 \times 3 \times 1973 \]
11838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23688 |
| Euler totient φ(n) | 3944 |
| Square | 140138244 |
| Cube | 1658956532472 |
| Square root | 108.802573 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.1838 × |
11838 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and thirty-eight |
| Binary (base 2) | 10111000111110 |
| Octal (base 8) | 27076 |
| Hexadecimal (base 16) | 2E3E |
| Base 3 | 121020110 |
| As time | 11838 seconds = 3 h 17 min 18 s |
Is 11838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11838 ÷ 2 = 5919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11838 ÷ 3 = 3946) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11838 ÷ 6 = 1973) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11838 a prime number?
No. 11838 = 2 × 3 × 1973, so it is divisible by 2.
What are the factors of 11838?
1, 2, 3, 6, 1973, 3946, 5919, 11838.
What is 11838 in binary?
10111000111110 (hexadecimal 2E3E, octal 27076).
What is the square root of 11838?
About 108.8026.
Is 11838 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 11838?
11838 is a happy number: repeatedly adding the squares of its digits reaches 1.