The number 37136
37136 is a composite number with 20 divisors. Its prime factorisation is × 11 × 211. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 211, 422, 844, 1688, 2321, 3376 … 37136.
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How to work it out
- 1
37136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37136 is composite. Its prime factorisation is
- 3
The divisors add up to 78864; without 37136 itself that is 41728, so 37136 is abundant (41728 is more than 37136). Euler's totient φ(37136) = 16800 numbers up to 37136 share no factor with it.
- 4
The digits of 37136 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37136 = 2^{4} \times 11 \times 211 \]37136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 78864 |
| Euler totient φ(n) | 16800 |
| Square | 1379082496 |
| Cube | 51213607571456 |
| Square root | 192.707032 (= 4√2321) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7136 × |
37136 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty-six |
| Binary (base 2) | 1001000100010000 |
| Octal (base 8) | 110420 |
| Hexadecimal (base 16) | 9110 |
| Base 3 | 1212221102 |
| As time | 37136 seconds = 10 h 18 min 56 s |
Is 37136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37136 ÷ 2 = 18568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37136 ÷ 4 = 9284) | 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 2) | 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 | Yes (37136 ÷ 8 = 4642) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (37136 ÷ 11 = 3376) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37136 a prime number?
No. 37136 = × 11 × 211, so it is divisible by 2.
What are the factors of 37136?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 211, 422, 844, 1688, 2321, 3376, 4642, 9284, 18568, 37136.
What is 37136 in binary?
1001000100010000 (hexadecimal 9110, octal 110420).
What is the square root of 37136?
About 192.7070, exactly 4√2321.
Is 37136 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37136?
It is a composite number with 20 divisors.