The number 7755
7755 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 47. Divisors (16): 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755.
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How to work it out
- 1
7755 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7755 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 7755 itself that is 6069, so 7755 is deficient (6069 is less than 7755). Euler's totient φ(7755) = 3680 numbers up to 7755 share no factor with it.
- 4
The digits of 7755 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7755 = 3 \times 5 \times 11 \times 47 \]
7755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 3680 |
| Square | 60140025 |
| Cube | 466385893875 |
| Square root | 88.062478 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.755 × |
7755 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and fifty-five |
| Binary (base 2) | 1111001001011 |
| Octal (base 8) | 17113 |
| Hexadecimal (base 16) | 1E4B |
| Base 3 | 101122020 |
| As time | 7755 seconds = 2 h 9 min 15 s |
Is 7755 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 (7755 ÷ 3 = 2585) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7755 ÷ 5 = 1551) | 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 6) | 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 3) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7755 ÷ 11 = 705) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7755 a prime number?
No. 7755 = 3 × 5 × 11 × 47, so it is divisible by 3.
What are the factors of 7755?
1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755.
What is 7755 in binary?
1111001001011 (hexadecimal 1E4B, octal 17113).
What is the square root of 7755?
About 88.0625.
Is 7755 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 7755?
It is a composite number with 16 divisors.