The number 36112
36112 is a composite number with 20 divisors. Its prime factorisation is × 37 × 61. Divisors (20): 1, 2, 4, 8, 16, 37, 61, 74, 122, 148, 244, 296, 488, 592, 976, 2257 … 36112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36112 is composite. Its prime factorisation is
- 3
The divisors add up to 73036; without 36112 itself that is 36924, so 36112 is abundant (36924 is more than 36112). Euler's totient φ(36112) = 17280 numbers up to 36112 share no factor with it.
- 4
The digits of 36112 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36112 = 2^{4} \times 37 \times 61 \]36112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 73036 |
| Euler totient φ(n) | 17280 |
| Square | 1304076544 |
| Cube | 47092812156928 |
| Square root | 190.031576 (= 4√2257) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.6112 × |
36112 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand one hundred and twelve |
| Binary (base 2) | 1000110100010000 |
| Octal (base 8) | 106420 |
| Hexadecimal (base 16) | 8D10 |
| Base 3 | 1211112111 |
| As time | 36112 seconds = 10 h 1 min 52 s |
Is 36112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36112 ÷ 2 = 18056) | 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 (36112 ÷ 4 = 9028) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (36112 ÷ 8 = 4514) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 36112 a prime number?
No. 36112 = × 37 × 61, so it is divisible by 2.
What are the factors of 36112?
1, 2, 4, 8, 16, 37, 61, 74, 122, 148, 244, 296, 488, 592, 976, 2257, 4514, 9028, 18056, 36112.
What is 36112 in binary?
1000110100010000 (hexadecimal 8D10, octal 106420).
What is the square root of 36112?
About 190.0316, exactly 4√2257.
Is 36112 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 36112?
It is a composite number with 20 divisors.