The number 77628
77628 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6469. Divisors (12): 1, 2, 3, 4, 6, 12, 6469, 12938, 19407, 25876, 38814, 77628.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77628 is composite. Its prime factorisation is
- 3
The divisors add up to 181160; without 77628 itself that is 103532, so 77628 is abundant (103532 is more than 77628). Euler's totient φ(77628) = 25872 numbers up to 77628 share no factor with it.
- 4
The digits of 77628 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77628 = 2^{2} \times 3 \times 6469 \]77628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 181160 |
| Euler totient φ(n) | 25872 |
| Square | 6026106384 |
| Cube | 467794586377152 |
| Square root | 278.618018 (= 2√19407) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7628 × |
77628 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and twenty-eight |
| Binary (base 2) | 10010111100111100 |
| Octal (base 8) | 227474 |
| Hexadecimal (base 16) | 12F3C |
| Base 3 | 10221111010 |
| As time | 77628 seconds = 21 h 33 min 48 s |
Is 77628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77628 ÷ 2 = 38814) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77628 ÷ 3 = 25876) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77628 ÷ 4 = 19407) | 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 (77628 ÷ 6 = 12938) | 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 3) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77628 ÷ 12 = 6469) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77628 a prime number?
No. 77628 = × 3 × 6469, so it is divisible by 2.
What are the factors of 77628?
1, 2, 3, 4, 6, 12, 6469, 12938, 19407, 25876, 38814, 77628.
What is 77628 in binary?
10010111100111100 (hexadecimal 12F3C, octal 227474).
What is the square root of 77628?
About 278.6180, exactly 2√19407.
Is 77628 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77628?
It is a composite number with 12 divisors.