The number 76504
76504 is a composite number with 16 divisors. Its prime factorisation is × 73 × 131. Divisors (16): 1, 2, 4, 8, 73, 131, 146, 262, 292, 524, 584, 1048, 9563, 19126, 38252, 76504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76504 is composite. Its prime factorisation is
- 3
The divisors add up to 146520; without 76504 itself that is 70016, so 76504 is deficient (70016 is less than 76504). Euler's totient φ(76504) = 37440 numbers up to 76504 share no factor with it.
- 4
The digits of 76504 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76504 = 2^{3} \times 73 \times 131 \]76504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146520 |
| Euler totient φ(n) | 37440 |
| Square | 5852862016 |
| Cube | 447767355672064 |
| Square root | 276.593565 (= 2√19126) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6504 × |
76504 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand five hundred and four |
| Binary (base 2) | 10010101011011000 |
| Octal (base 8) | 225330 |
| Hexadecimal (base 16) | 12AD8 |
| Base 3 | 10212221111 |
| As time | 76504 seconds = 21 h 15 min 4 s |
Is 76504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76504 ÷ 2 = 38252) | 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 (76504 ÷ 4 = 19126) | 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 | Yes (76504 ÷ 8 = 9563) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | 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 76504 a prime number?
No. 76504 = × 73 × 131, so it is divisible by 2.
What are the factors of 76504?
1, 2, 4, 8, 73, 131, 146, 262, 292, 524, 584, 1048, 9563, 19126, 38252, 76504.
What is 76504 in binary?
10010101011011000 (hexadecimal 12AD8, octal 225330).
What is the square root of 76504?
About 276.5936, exactly 2√19126.
Is 76504 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76504?
It is a composite number with 16 divisors.