The number 76736
76736 is a composite number with 28 divisors. Its prime factorisation is × 11 × 109. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 109, 176, 218, 352, 436 … 76736.
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How to work it out
- 1
76736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76736 is composite. Its prime factorisation is
- 3
The divisors add up to 167640; without 76736 itself that is 90904, so 76736 is abundant (90904 is more than 76736). Euler's totient φ(76736) = 34560 numbers up to 76736 share no factor with it.
- 4
The digits of 76736 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76736 = 2^{6} \times 11 \times 109 \]76736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 167640 |
| Euler totient φ(n) | 34560 |
| Square | 5888413696 |
| Cube | 451853313376256 |
| Square root | 277.012635 (= 8√1199) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6736 × |
76736 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and thirty-six |
| Binary (base 2) | 10010101111000000 |
| Octal (base 8) | 225700 |
| Hexadecimal (base 16) | 12BC0 |
| Base 3 | 10220021002 |
| As time | 76736 seconds = 21 h 18 min 56 s |
Is 76736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76736 ÷ 2 = 38368) | 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 (76736 ÷ 4 = 19184) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (76736 ÷ 8 = 9592) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (76736 ÷ 11 = 6976) | 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 76736 a prime number?
No. 76736 = × 11 × 109, so it is divisible by 2.
What are the factors of 76736?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 109, 176, 218, 352, 436, 704, 872, 1199, 1744, 2398, 3488, 4796, 6976, 9592, 19184, 38368, 76736.
What is 76736 in binary?
10010101111000000 (hexadecimal 12BC0, octal 225700).
What is the square root of 76736?
About 277.0126, exactly 8√1199.
Is 76736 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76736?
It is a composite number with 28 divisors.