The number 76725
76725 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 31. Divisors (36): 1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165 … 76725.
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How to work it out
- 1
76725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76725 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 76725 itself that is 78027, so 76725 is abundant (78027 is more than 76725). Euler's totient φ(76725) = 36000 numbers up to 76725 share no factor with it.
- 4
The digits of 76725 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76725 = 3^{2} \times 5^{2} \times 11 \times 31 \]76725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 36000 |
| Square | 5886725625 |
| Cube | 451659023578125 |
| Square root | 276.992780 (= 15√341) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6725 × |
76725 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and twenty-five |
| Binary (base 2) | 10010101110110101 |
| Octal (base 8) | 225665 |
| Hexadecimal (base 16) | 12BB5 |
| Base 3 | 10220020200 |
| As time | 76725 seconds = 21 h 18 min 45 s |
Is 76725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76725 ÷ 3 = 25575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76725 ÷ 5 = 15345) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76725 ÷ 9 = 8525) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76725 ÷ 11 = 6975) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76725 a prime number?
No. 76725 = × × 11 × 31, so it is divisible by 3.
What are the factors of 76725?
1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165, 225, 275, 279, 341, 465, 495, 775, 825, 1023, 1395, 1705, 2325, 2475, 3069, 5115, 6975, 8525, 15345, 25575, 76725.
What is 76725 in binary?
10010101110110101 (hexadecimal 12BB5, octal 225665).
What is the square root of 76725?
About 276.9928, exactly 15√341.
Is 76725 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76725?
It is a composite number with 36 divisors.