The number 38116
38116 is a composite number with 12 divisors. Its prime factorisation is × 13 × 733. Divisors (12): 1, 2, 4, 13, 26, 52, 733, 1466, 2932, 9529, 19058, 38116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38116 is composite. Its prime factorisation is
- 3
The divisors add up to 71932; without 38116 itself that is 33816, so 38116 is deficient (33816 is less than 38116). Euler's totient φ(38116) = 17568 numbers up to 38116 share no factor with it.
- 4
The digits of 38116 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38116 = 2^{2} \times 13 \times 733 \]38116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71932 |
| Euler totient φ(n) | 17568 |
| Square | 1452829456 |
| Cube | 55376047544896 |
| Square root | 195.233194 (= 2√9529) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8116 × |
38116 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and sixteen |
| Binary (base 2) | 1001010011100100 |
| Octal (base 8) | 112344 |
| Hexadecimal (base 16) | 94E4 |
| Base 3 | 1221021201 |
| As time | 38116 seconds = 10 h 35 min 16 s |
Is 38116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38116 ÷ 2 = 19058) | 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 | Yes (38116 ÷ 4 = 9529) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38116 a prime number?
No. 38116 = × 13 × 733, so it is divisible by 2.
What are the factors of 38116?
1, 2, 4, 13, 26, 52, 733, 1466, 2932, 9529, 19058, 38116.
What is 38116 in binary?
1001010011100100 (hexadecimal 94E4, octal 112344).
What is the square root of 38116?
About 195.2332, exactly 2√9529.
Is 38116 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38116?
It is a composite number with 12 divisors.