The number 76004
76004 is a composite number with 6 divisors. Its prime factorisation is × 19001. Divisors (6): 1, 2, 4, 19001, 38002, 76004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76004 is composite. Its prime factorisation is
- 3
The divisors add up to 133014; without 76004 itself that is 57010, so 76004 is deficient (57010 is less than 76004). Euler's totient φ(76004) = 38000 numbers up to 76004 share no factor with it.
- 4
The digits of 76004 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76004 = 2^{2} \times 19001 \]76004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 133014 |
| Euler totient φ(n) | 38000 |
| Square | 5776608016 |
| Cube | 439045315648064 |
| Square root | 275.688230 (= 2√19001) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6004 × |
76004 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and four |
| Binary (base 2) | 10010100011100100 |
| Octal (base 8) | 224344 |
| Hexadecimal (base 16) | 128E4 |
| Base 3 | 10212020222 |
| As time | 76004 seconds = 21 h 6 min 44 s |
Is 76004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76004 ÷ 2 = 38002) | 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 (76004 ÷ 4 = 19001) | 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 5) | 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 5) | 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 76004 a prime number?
No. 76004 = × 19001, so it is divisible by 2.
What are the factors of 76004?
1, 2, 4, 19001, 38002, 76004.
What is 76004 in binary?
10010100011100100 (hexadecimal 128E4, octal 224344).
What is the square root of 76004?
About 275.6882, exactly 2√19001.
Is 76004 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 76004?
It is a composite number with 6 divisors.