The number 36712
36712 is a composite number with 16 divisors. Its prime factorisation is × 13 × 353. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 353, 706, 1412, 2824, 4589, 9178, 18356, 36712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36712 is composite. Its prime factorisation is
- 3
The divisors add up to 74340; without 36712 itself that is 37628, so 36712 is abundant (37628 is more than 36712). Euler's totient φ(36712) = 16896 numbers up to 36712 share no factor with it.
- 4
The digits of 36712 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36712 = 2^{3} \times 13 \times 353 \]36712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74340 |
| Euler totient φ(n) | 16896 |
| Square | 1347770944 |
| Cube | 49479366896128 |
| Square root | 191.603758 (= 2√9178) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6712 × |
36712 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and twelve |
| Binary (base 2) | 1000111101101000 |
| Octal (base 8) | 107550 |
| Hexadecimal (base 16) | 8F68 |
| Base 3 | 1212100201 |
| As time | 36712 seconds = 10 h 11 min 52 s |
Is 36712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36712 ÷ 2 = 18356) | 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 (36712 ÷ 4 = 9178) | 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 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 | Yes (36712 ÷ 8 = 4589) | 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 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36712 a prime number?
No. 36712 = × 13 × 353, so it is divisible by 2.
What are the factors of 36712?
1, 2, 4, 8, 13, 26, 52, 104, 353, 706, 1412, 2824, 4589, 9178, 18356, 36712.
What is 36712 in binary?
1000111101101000 (hexadecimal 8F68, octal 107550).
What is the square root of 36712?
About 191.6038, exactly 2√9178.
Is 36712 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 36712?
It is a composite number with 16 divisors.