The number 36988
36988 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1321. Divisors (12): 1, 2, 4, 7, 14, 28, 1321, 2642, 5284, 9247, 18494, 36988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36988 is composite. Its prime factorisation is
- 3
The divisors add up to 74032; without 36988 itself that is 37044, so 36988 is abundant (37044 is more than 36988). Euler's totient φ(36988) = 15840 numbers up to 36988 share no factor with it.
- 4
The digits of 36988 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36988 = 2^{2} \times 7 \times 1321 \]36988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 74032 |
| Euler totient φ(n) | 15840 |
| Square | 1368112144 |
| Cube | 50603731982272 |
| Square root | 192.322646 (= 2√9247) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6988 × |
36988 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and eighty-eight |
| Binary (base 2) | 1001000001111100 |
| Octal (base 8) | 110174 |
| Hexadecimal (base 16) | 907C |
| Base 3 | 1212201221 |
| As time | 36988 seconds = 10 h 16 min 28 s |
Is 36988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36988 ÷ 2 = 18494) | 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 (36988 ÷ 4 = 9247) | 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 | Yes (36988 ÷ 7 = 5284) | 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 7) | 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 6) | 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 36988 a prime number?
No. 36988 = × 7 × 1321, so it is divisible by 2.
What are the factors of 36988?
1, 2, 4, 7, 14, 28, 1321, 2642, 5284, 9247, 18494, 36988.
What is 36988 in binary?
1001000001111100 (hexadecimal 907C, octal 110174).
What is the square root of 36988?
About 192.3226, exactly 2√9247.
Is 36988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 36988?
It is a composite number with 12 divisors.