The number 36764
36764 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 101. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 101, 182, 202, 364, 404, 707 … 36764.
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How to work it out
- 1
What is special about 36764: a Harshad number: divisible by its digit sum 26.
- 2
36764 is composite. Its prime factorisation is
- 3
The divisors add up to 79968; without 36764 itself that is 43204, so 36764 is abundant (43204 is more than 36764). Euler's totient φ(36764) = 14400 numbers up to 36764 share no factor with it.
- 4
The digits of 36764 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36764 = 2^{2} \times 7 \times 13 \times 101 \]36764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 79968 |
| Euler totient φ(n) | 14400 |
| Square | 1351591696 |
| Cube | 49689917111744 |
| Square root | 191.739406 (= 2√9191) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6764 × |
36764 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and sixty-four |
| Binary (base 2) | 1000111110011100 |
| Octal (base 8) | 107634 |
| Hexadecimal (base 16) | 8F9C |
| Base 3 | 1212102122 |
| As time | 36764 seconds = 10 h 12 min 44 s |
Is 36764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36764 ÷ 2 = 18382) | 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 | Yes (36764 ÷ 4 = 9191) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (36764 ÷ 7 = 5252) | 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 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36764 a prime number?
No. 36764 = × 7 × 13 × 101, so it is divisible by 2.
What are the factors of 36764?
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 101, 182, 202, 364, 404, 707, 1313, 1414, 2626, 2828, 5252, 9191, 18382, 36764.
What is 36764 in binary?
1000111110011100 (hexadecimal 8F9C, octal 107634).
What is the square root of 36764?
About 191.7394, exactly 2√9191.
Is 36764 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 36764?
36764 is a Harshad number: divisible by its digit sum 26.