The number 11438
11438 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 43. Divisors (16): 1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719, 11438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11438: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11438 is composite. Its prime factorisation is
- 3
The divisors add up to 21120; without 11438 itself that is 9682, so 11438 is deficient (9682 is less than 11438). Euler's totient φ(11438) = 4536 numbers up to 11438 share no factor with it.
- 4
The digits of 11438 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11438 = 2 \times 7 \times 19 \times 43 \]
11438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21120 |
| Euler totient φ(n) | 4536 |
| Square | 130827844 |
| Cube | 1496408879672 |
| Square root | 106.948586 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1438 × |
11438 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and thirty-eight |
| Binary (base 2) | 10110010101110 |
| Octal (base 8) | 26256 |
| Hexadecimal (base 16) | 2CAE |
| Base 3 | 120200122 |
| As time | 11438 seconds = 3 h 10 min 38 s |
Is 11438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11438 ÷ 2 = 5719) | 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 3) | 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 | Yes (11438 ÷ 7 = 1634) | 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 8) | 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 9) | 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 11438 a prime number?
No. 11438 = 2 × 7 × 19 × 43, so it is divisible by 2.
What are the factors of 11438?
1, 2, 7, 14, 19, 38, 43, 86, 133, 266, 301, 602, 817, 1634, 5719, 11438.
What is 11438 in binary?
10110010101110 (hexadecimal 2CAE, octal 26256).
What is the square root of 11438?
About 106.9486.
Is 11438 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 11438?
11438 is a happy number: repeatedly adding the squares of its digits reaches 1.