The number 77550
77550 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 11 × 47. Divisors (48): 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 47, 50, 55, 66 … 77550.
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How to work it out
- 1
77550 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77550 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 77550 itself that is 136722, so 77550 is abundant (136722 is more than 77550). Euler's totient φ(77550) = 18400 numbers up to 77550 share no factor with it.
- 4
The digits of 77550 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77550 = 2 \times 3 \times 5^{2} \times 11 \times 47 \]77550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 18400 |
| Square | 6014002500 |
| Cube | 466385893875000 |
| Square root | 278.478006 (= 5√3102) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.755 × |
77550 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and fifty |
| Binary (base 2) | 10010111011101110 |
| Octal (base 8) | 227356 |
| Hexadecimal (base 16) | 12EEE |
| Base 3 | 10221101020 |
| As time | 77550 seconds = 21 h 32 min 30 s |
Is 77550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77550 ÷ 2 = 38775) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77550 ÷ 3 = 25850) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77550 ÷ 5 = 15510) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77550 ÷ 6 = 12925) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77550 ÷ 10 = 7755) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77550 ÷ 11 = 7050) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77550 a prime number?
No. 77550 = 2 × 3 × × 11 × 47, so it is divisible by 2.
What are the factors of 77550?
1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 47, 50, 55, 66, 75, 94, 110, 141, 150, 165, 235, 275, 282, 330, 470, 517, 550, 705, 825, 1034, 1175, 1410, 1551, 1650, 2350, 2585, 3102, 3525, 5170, 7050, 7755, 12925, 15510, 25850, 38775, 77550.
What is 77550 in binary?
10010111011101110 (hexadecimal 12EEE, octal 227356).
What is the square root of 77550?
About 278.4780, exactly 5√3102.
Is 77550 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77550?
It is a composite number with 48 divisors.