The number 36816
36816 is a composite number with 40 divisors. Its prime factorisation is × 3 × 13 × 59. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 59, 78 … 36816.
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How to work it out
- 1
What is special about 36816: a Harshad number: divisible by its digit sum 24.
- 2
36816 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 36816 itself that is 67344, so 36816 is abundant (67344 is more than 36816). Euler's totient φ(36816) = 11136 numbers up to 36816 share no factor with it.
- 4
The digits of 36816 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36816 = 2^{4} \times 3 \times 13 \times 59 \]36816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 11136 |
| Square | 1355417856 |
| Cube | 49901063786496 |
| Square root | 191.874959 (= 4√2301) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6816 × |
36816 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand eight hundred and sixteen |
| Binary (base 2) | 1000111111010000 |
| Octal (base 8) | 107720 |
| Hexadecimal (base 16) | 8FD0 |
| Base 3 | 1212111120 |
| As time | 36816 seconds = 10 h 13 min 36 s |
Is 36816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36816 ÷ 2 = 18408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36816 ÷ 3 = 12272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36816 ÷ 4 = 9204) | 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 | Yes (36816 ÷ 6 = 6136) | 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 (36816 ÷ 8 = 4602) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36816 ÷ 12 = 3068) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36816 a prime number?
No. 36816 = × 3 × 13 × 59, so it is divisible by 2.
What are the factors of 36816?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 59, 78, 104, 118, 156, 177, 208, 236, 312, 354, 472, 624, 708, 767, 944, 1416, 1534, 2301, 2832, 3068, 4602, 6136, 9204, 12272, 18408, 36816.
What is 36816 in binary?
1000111111010000 (hexadecimal 8FD0, octal 107720).
What is the square root of 36816?
About 191.8750, exactly 4√2301.
Is 36816 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 36816?
36816 is a Harshad number: divisible by its digit sum 24.