The number 76428
76428 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 193. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132 … 76428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76428 is composite. Its prime factorisation is
- 3
The divisors add up to 211848; without 76428 itself that is 135420, so 76428 is abundant (135420 is more than 76428). Euler's totient φ(76428) = 23040 numbers up to 76428 share no factor with it.
- 4
The digits of 76428 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76428 = 2^{2} \times 3^{2} \times 11 \times 193 \]76428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 211848 |
| Euler totient φ(n) | 23040 |
| Square | 5841239184 |
| Cube | 446434228354752 |
| Square root | 276.456145 (= 6√2123) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6428 × |
76428 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred and twenty-eight |
| Binary (base 2) | 10010101010001100 |
| Octal (base 8) | 225214 |
| Hexadecimal (base 16) | 12A8C |
| Base 3 | 10212211200 |
| As time | 76428 seconds = 21 h 13 min 48 s |
Is 76428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76428 ÷ 2 = 38214) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76428 ÷ 3 = 25476) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76428 ÷ 4 = 19107) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76428 ÷ 6 = 12738) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (76428 ÷ 9 = 8492) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76428 ÷ 11 = 6948) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76428 ÷ 12 = 6369) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76428 a prime number?
No. 76428 = × × 11 × 193, so it is divisible by 2.
What are the factors of 76428?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 193, 198, 386, 396, 579, 772, 1158, 1737, 2123, 2316, 3474, 4246, 6369, 6948, 8492, 12738, 19107, 25476, 38214, 76428.
What is 76428 in binary?
10010101010001100 (hexadecimal 12A8C, octal 225214).
What is the square root of 76428?
About 276.4561, exactly 6√2123.
Is 76428 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76428?
It is a composite number with 36 divisors.