The number 76364
76364 is a composite number with 12 divisors. Its prime factorisation is × 17 × 1123. Divisors (12): 1, 2, 4, 17, 34, 68, 1123, 2246, 4492, 19091, 38182, 76364.
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How to work it out
- 1
76364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76364 is composite. Its prime factorisation is
- 3
The divisors add up to 141624; without 76364 itself that is 65260, so 76364 is deficient (65260 is less than 76364). Euler's totient φ(76364) = 35904 numbers up to 76364 share no factor with it.
- 4
The digits of 76364 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76364 = 2^{2} \times 17 \times 1123 \]76364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141624 |
| Euler totient φ(n) | 35904 |
| Square | 5831460496 |
| Cube | 445313649316544 |
| Square root | 276.340370 (= 2√19091) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.6364 × |
76364 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and sixty-four |
| Binary (base 2) | 10010101001001100 |
| Octal (base 8) | 225114 |
| Hexadecimal (base 16) | 12A4C |
| Base 3 | 10212202022 |
| As time | 76364 seconds = 21 h 12 min 44 s |
Is 76364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76364 ÷ 2 = 38182) | 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 (76364 ÷ 4 = 19091) | 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 | No (remainder 1) | 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 76364 a prime number?
No. 76364 = × 17 × 1123, so it is divisible by 2.
What are the factors of 76364?
1, 2, 4, 17, 34, 68, 1123, 2246, 4492, 19091, 38182, 76364.
What is 76364 in binary?
10010101001001100 (hexadecimal 12A4C, octal 225114).
What is the square root of 76364?
About 276.3404, exactly 2√19091.
Is 76364 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 76364?
It is a composite number with 12 divisors.