The number 36746
36746 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 967. Divisors (8): 1, 2, 19, 38, 967, 1934, 18373, 36746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36746 is composite. Its prime factorisation is
- 3
The divisors add up to 58080; without 36746 itself that is 21334, so 36746 is deficient (21334 is less than 36746). Euler's totient φ(36746) = 17388 numbers up to 36746 share no factor with it.
- 4
The digits of 36746 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36746 = 2 \times 19 \times 967 \]
36746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58080 |
| Euler totient φ(n) | 17388 |
| Square | 1350268516 |
| Cube | 49616966888936 |
| Square root | 191.692462 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.6746 × |
36746 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and forty-six |
| Binary (base 2) | 1000111110001010 |
| Octal (base 8) | 107612 |
| Hexadecimal (base 16) | 8F8A |
| Base 3 | 1212101222 |
| As time | 36746 seconds = 10 h 12 min 26 s |
Is 36746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36746 ÷ 2 = 18373) | 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 | No (remainder 2) | 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 3) | 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 8) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36746 a prime number?
No. 36746 = 2 × 19 × 967, so it is divisible by 2.
What are the factors of 36746?
1, 2, 19, 38, 967, 1934, 18373, 36746.
What is 36746 in binary?
1000111110001010 (hexadecimal 8F8A, octal 107612).
What is the square root of 36746?
About 191.6925.
Is 36746 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36746?
It is a composite number with 8 divisors.