The number 12438
12438 is a composite number with 12 divisors. Its prime factorisation is 2 × × 691. Divisors (12): 1, 2, 3, 6, 9, 18, 691, 1382, 2073, 4146, 6219, 12438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12438: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
12438 is composite. Its prime factorisation is
- 3
The divisors add up to 26988; without 12438 itself that is 14550, so 12438 is abundant (14550 is more than 12438). Euler's totient φ(12438) = 4140 numbers up to 12438 share no factor with it.
- 4
The digits of 12438 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12438 = 2 \times 3^{2} \times 691 \]12438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 26988 |
| Euler totient φ(n) | 4140 |
| Square | 154703844 |
| Cube | 1924206411672 |
| Square root | 111.525782 (= 3√1382) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2438 × |
12438 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and thirty-eight |
| Binary (base 2) | 11000010010110 |
| Octal (base 8) | 30226 |
| Hexadecimal (base 16) | 3096 |
| Base 3 | 122001200 |
| As time | 12438 seconds = 3 h 27 min 18 s |
Is 12438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12438 ÷ 2 = 6219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12438 ÷ 3 = 4146) | 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 (12438 ÷ 6 = 2073) | 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 | Yes (12438 ÷ 9 = 1382) | 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 8) | 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 12438 a prime number?
No. 12438 = 2 × × 691, so it is divisible by 2.
What are the factors of 12438?
1, 2, 3, 6, 9, 18, 691, 1382, 2073, 4146, 6219, 12438.
What is 12438 in binary?
11000010010110 (hexadecimal 3096, octal 30226).
What is the square root of 12438?
About 111.5258, exactly 3√1382.
Is 12438 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12438?
12438 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.