The number 36840
36840 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 307. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 36840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36840 is composite. Its prime factorisation is
- 3
The divisors add up to 110880; without 36840 itself that is 74040, so 36840 is abundant (74040 is more than 36840). Euler's totient φ(36840) = 9792 numbers up to 36840 share no factor with it.
- 4
The digits of 36840 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36840 = 2^{3} \times 3 \times 5 \times 307 \]36840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110880 |
| Euler totient φ(n) | 9792 |
| Square | 1357185600 |
| Cube | 49998717504000 |
| Square root | 191.937490 (= 2√9210) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.684 × |
36840 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and forty |
| Binary (base 2) | 1000111111101000 |
| Octal (base 8) | 107750 |
| Hexadecimal (base 16) | 8FE8 |
| Base 3 | 1212112110 |
| As time | 36840 seconds = 10 h 14 min 0 s |
Is 36840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36840 ÷ 2 = 18420) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36840 ÷ 3 = 12280) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36840 ÷ 4 = 9210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36840 ÷ 5 = 7368) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36840 ÷ 6 = 6140) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (36840 ÷ 8 = 4605) | 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 | Yes (36840 ÷ 10 = 3684) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36840 ÷ 12 = 3070) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36840 a prime number?
No. 36840 = × 3 × 5 × 307, so it is divisible by 2.
What are the factors of 36840?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 307, 614, 921, 1228, 1535, 1842, 2456, 3070, 3684, 4605, 6140, 7368, 9210, 12280, 18420, 36840.
What is 36840 in binary?
1000111111101000 (hexadecimal 8FE8, octal 107750).
What is the square root of 36840?
About 191.9375, exactly 2√9210.
Is 36840 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 36840?
It is a composite number with 32 divisors.