The number 36748
36748 is a composite number with 6 divisors. Its prime factorisation is × 9187. Divisors (6): 1, 2, 4, 9187, 18374, 36748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36748 is composite. Its prime factorisation is
- 3
The divisors add up to 64316; without 36748 itself that is 27568, so 36748 is deficient (27568 is less than 36748). Euler's totient φ(36748) = 18372 numbers up to 36748 share no factor with it.
- 4
The digits of 36748 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36748 = 2^{2} \times 9187 \]36748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 64316 |
| Euler totient φ(n) | 18372 |
| Square | 1350415504 |
| Cube | 49625068940992 |
| Square root | 191.697679 (= 2√9187) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.6748 × |
36748 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and forty-eight |
| Binary (base 2) | 1000111110001100 |
| Octal (base 8) | 107614 |
| Hexadecimal (base 16) | 8F8C |
| Base 3 | 1212102001 |
| As time | 36748 seconds = 10 h 12 min 28 s |
Is 36748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36748 ÷ 2 = 18374) | 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 (36748 ÷ 4 = 9187) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 36748 a prime number?
No. 36748 = × 9187, so it is divisible by 2.
What are the factors of 36748?
1, 2, 4, 9187, 18374, 36748.
What is 36748 in binary?
1000111110001100 (hexadecimal 8F8C, octal 107614).
What is the square root of 36748?
About 191.6977, exactly 2√9187.
Is 36748 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 36748?
It is a composite number with 6 divisors.