The number 76773
76773 is a composite number with 8 divisors. Its prime factorisation is 3 × 157 × 163. Divisors (8): 1, 3, 157, 163, 471, 489, 25591, 76773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76773: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76773 is composite. Its prime factorisation is
- 3
The divisors add up to 103648; without 76773 itself that is 26875, so 76773 is deficient (26875 is less than 76773). Euler's totient φ(76773) = 50544 numbers up to 76773 share no factor with it.
- 4
The digits of 76773 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76773 = 3 \times 157 \times 163 \]
76773 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 103648 |
| Euler totient φ(n) | 50544 |
| Square | 5894093529 |
| Cube | 452507242501917 |
| Square root | 277.079411 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6773 × |
76773 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and seventy-three |
| Binary (base 2) | 10010101111100101 |
| Octal (base 8) | 225745 |
| Hexadecimal (base 16) | 12BE5 |
| Base 3 | 10220022110 |
| As time | 76773 seconds = 21 h 19 min 33 s |
Is 76773 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 (76773 ÷ 3 = 25591) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76773 a prime number?
No. 76773 = 3 × 157 × 163, so it is divisible by 3.
What are the factors of 76773?
1, 3, 157, 163, 471, 489, 25591, 76773.
What is 76773 in binary?
10010101111100101 (hexadecimal 12BE5, octal 225745).
What is the square root of 76773?
About 277.0794.
Is 76773 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 76773?
76773 is a happy number: repeatedly adding the squares of its digits reaches 1.