The number 76404
76404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6367. Divisors (12): 1, 2, 3, 4, 6, 12, 6367, 12734, 19101, 25468, 38202, 76404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76404 is composite. Its prime factorisation is
- 3
The divisors add up to 178304; without 76404 itself that is 101900, so 76404 is abundant (101900 is more than 76404). Euler's totient φ(76404) = 25464 numbers up to 76404 share no factor with it.
- 4
The digits of 76404 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76404 = 2^{2} \times 3 \times 6367 \]76404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 178304 |
| Euler totient φ(n) | 25464 |
| Square | 5837571216 |
| Cube | 446013791187264 |
| Square root | 276.412735 (= 2√19101) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.6404 × |
76404 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and four |
| Binary (base 2) | 10010101001110100 |
| Octal (base 8) | 225164 |
| Hexadecimal (base 16) | 12A74 |
| Base 3 | 10212210210 |
| As time | 76404 seconds = 21 h 13 min 24 s |
Is 76404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76404 ÷ 2 = 38202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76404 ÷ 3 = 25468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76404 ÷ 4 = 19101) | 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 | Yes (76404 ÷ 6 = 12734) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76404 ÷ 12 = 6367) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76404 a prime number?
No. 76404 = × 3 × 6367, so it is divisible by 2.
What are the factors of 76404?
1, 2, 3, 4, 6, 12, 6367, 12734, 19101, 25468, 38202, 76404.
What is 76404 in binary?
10010101001110100 (hexadecimal 12A74, octal 225164).
What is the square root of 76404?
About 276.4127, exactly 2√19101.
Is 76404 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76404?
It is a composite number with 12 divisors.