The number 76775
76775 is a composite number with 12 divisors. Its prime factorisation is × 37 × 83. Divisors (12): 1, 5, 25, 37, 83, 185, 415, 925, 2075, 3071, 15355, 76775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76775: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76775 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 76775 itself that is 22177, so 76775 is deficient (22177 is less than 76775). Euler's totient φ(76775) = 59040 numbers up to 76775 share no factor with it.
- 4
The digits of 76775 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76775 = 5^{2} \times 37 \times 83 \]76775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 59040 |
| Square | 5894400625 |
| Cube | 452542607984375 |
| Square root | 277.083020 (= 5√3071) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6775 × |
76775 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and seventy-five |
| Binary (base 2) | 10010101111100111 |
| Octal (base 8) | 225747 |
| Hexadecimal (base 16) | 12BE7 |
| Base 3 | 10220022112 |
| As time | 76775 seconds = 21 h 19 min 35 s |
Is 76775 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 | No (remainder 2) | 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 (76775 ÷ 5 = 15355) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76775 a prime number?
No. 76775 = × 37 × 83, so it is divisible by 5.
What are the factors of 76775?
1, 5, 25, 37, 83, 185, 415, 925, 2075, 3071, 15355, 76775.
What is 76775 in binary?
10010101111100111 (hexadecimal 12BE7, octal 225747).
What is the square root of 76775?
About 277.0830, exactly 5√3071.
Is 76775 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 76775?
76775 is a happy number: repeatedly adding the squares of its digits reaches 1.