The number 36984
36984 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 67. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 67, 69, 92, 134, 138, 184 … 36984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36984 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 36984 itself that is 60936, so 36984 is abundant (60936 is more than 36984). Euler's totient φ(36984) = 11616 numbers up to 36984 share no factor with it.
- 4
The digits of 36984 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36984 = 2^{3} \times 3 \times 23 \times 67 \]36984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 11616 |
| Square | 1367816256 |
| Cube | 50587316411904 |
| Square root | 192.312246 (= 2√9246) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.6984 × |
36984 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand nine hundred and eighty-four |
| Binary (base 2) | 1001000001111000 |
| Octal (base 8) | 110170 |
| Hexadecimal (base 16) | 9078 |
| Base 3 | 1212201210 |
| As time | 36984 seconds = 10 h 16 min 24 s |
Is 36984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36984 ÷ 2 = 18492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36984 ÷ 3 = 12328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36984 ÷ 4 = 9246) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36984 ÷ 6 = 6164) | 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 | Yes (36984 ÷ 8 = 4623) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36984 ÷ 12 = 3082) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36984 a prime number?
No. 36984 = × 3 × 23 × 67, so it is divisible by 2.
What are the factors of 36984?
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 67, 69, 92, 134, 138, 184, 201, 268, 276, 402, 536, 552, 804, 1541, 1608, 3082, 4623, 6164, 9246, 12328, 18492, 36984.
What is 36984 in binary?
1001000001111000 (hexadecimal 9078, octal 110170).
What is the square root of 36984?
About 192.3122, exactly 2√9246.
Is 36984 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 36984?
It is a composite number with 32 divisors.