The number 38406
38406 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 173. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 173, 222, 346, 519, 1038, 6401, 12802, 19203, 38406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38406 is composite. Its prime factorisation is
- 3
The divisors add up to 79344; without 38406 itself that is 40938, so 38406 is abundant (40938 is more than 38406). Euler's totient φ(38406) = 12384 numbers up to 38406 share no factor with it.
- 4
The digits of 38406 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38406 = 2 \times 3 \times 37 \times 173 \]
38406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79344 |
| Euler totient φ(n) | 12384 |
| Square | 1475020836 |
| Cube | 56649650227416 |
| Square root | 195.974488 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8406 × |
38406 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and six |
| Binary (base 2) | 1001011000000110 |
| Octal (base 8) | 113006 |
| Hexadecimal (base 16) | 9606 |
| Base 3 | 1221200110 |
| As time | 38406 seconds = 10 h 40 min 6 s |
Is 38406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38406 ÷ 2 = 19203) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38406 ÷ 3 = 12802) | 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 | Yes (38406 ÷ 6 = 6401) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 38406 a prime number?
No. 38406 = 2 × 3 × 37 × 173, so it is divisible by 2.
What are the factors of 38406?
1, 2, 3, 6, 37, 74, 111, 173, 222, 346, 519, 1038, 6401, 12802, 19203, 38406.
What is 38406 in binary?
1001011000000110 (hexadecimal 9606, octal 113006).
What is the square root of 38406?
About 195.9745.
Is 38406 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38406?
It is a composite number with 16 divisors.