The number 76084
76084 is a composite number with 12 divisors. Its prime factorisation is × 23 × 827. Divisors (12): 1, 2, 4, 23, 46, 92, 827, 1654, 3308, 19021, 38042, 76084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76084 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 76084 itself that is 63020, so 76084 is deficient (63020 is less than 76084). Euler's totient φ(76084) = 36344 numbers up to 76084 share no factor with it.
- 4
The digits of 76084 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76084 = 2^{2} \times 23 \times 827 \]76084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 36344 |
| Square | 5788775056 |
| Cube | 440433161360704 |
| Square root | 275.833283 (= 2√19021) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6084 × |
76084 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and eighty-four |
| Binary (base 2) | 10010100100110100 |
| Octal (base 8) | 224464 |
| Hexadecimal (base 16) | 12934 |
| Base 3 | 10212100221 |
| As time | 76084 seconds = 21 h 8 min 4 s |
Is 76084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76084 ÷ 2 = 38042) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76084 ÷ 4 = 19021) | 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 4) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76084 a prime number?
No. 76084 = × 23 × 827, so it is divisible by 2.
What are the factors of 76084?
1, 2, 4, 23, 46, 92, 827, 1654, 3308, 19021, 38042, 76084.
What is 76084 in binary?
10010100100110100 (hexadecimal 12934, octal 224464).
What is the square root of 76084?
About 275.8333, exactly 2√19021.
Is 76084 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 76084?
It is a composite number with 12 divisors.