The number 36138
36138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 317. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 317, 634, 951, 1902, 6023, 12046, 18069, 36138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36138 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 36138 itself that is 40182, so 36138 is abundant (40182 is more than 36138). Euler's totient φ(36138) = 11376 numbers up to 36138 share no factor with it.
- 4
The digits of 36138 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36138 = 2 \times 3 \times 19 \times 317 \]
36138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 11376 |
| Square | 1305955044 |
| Cube | 47194603380072 |
| Square root | 190.099974 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6138 × |
36138 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and thirty-eight |
| Binary (base 2) | 1000110100101010 |
| Octal (base 8) | 106452 |
| Hexadecimal (base 16) | 8D2A |
| Base 3 | 1211120110 |
| As time | 36138 seconds = 10 h 2 min 18 s |
Is 36138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36138 ÷ 2 = 18069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36138 ÷ 3 = 12046) | 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 (36138 ÷ 6 = 6023) | 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 2) | 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 3) | 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 36138 a prime number?
No. 36138 = 2 × 3 × 19 × 317, so it is divisible by 2.
What are the factors of 36138?
1, 2, 3, 6, 19, 38, 57, 114, 317, 634, 951, 1902, 6023, 12046, 18069, 36138.
What is 36138 in binary?
1000110100101010 (hexadecimal 8D2A, octal 106452).
What is the square root of 36138?
About 190.1000.
Is 36138 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36138?
It is a composite number with 16 divisors.