The number 77763
77763 is a composite number with 18 divisors. Its prime factorisation is 3 × × . Divisors (18): 1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 529, 1127, 1587, 3381, 3703, 11109 … 77763.
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How to work it out
- 1
What is special about 77763: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77763 is composite. Its prime factorisation is
- 3
The divisors add up to 126084; without 77763 itself that is 48321, so 77763 is deficient (48321 is less than 77763). Euler's totient φ(77763) = 42504 numbers up to 77763 share no factor with it.
- 4
The digits of 77763 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 244 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77763 = 3 \times 7^{2} \times 23^{2} \]77763 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 126084 |
| Euler totient φ(n) | 42504 |
| Square | 6047084169 |
| Cube | 470239406233947 |
| Square root | 278.860180 (= 161√3) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 244 |
| Scientific notation | 7.7763 × |
77763 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and sixty-three |
| Binary (base 2) | 10010111111000011 |
| Octal (base 8) | 227703 |
| Hexadecimal (base 16) | 12FC3 |
| Base 3 | 10221200010 |
| As time | 77763 seconds = 21 h 36 min 3 s |
Is 77763 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 (77763 ÷ 3 = 25921) | 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 | 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 | Yes (77763 ÷ 7 = 11109) | 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 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77763 a prime number?
No. 77763 = 3 × × , so it is divisible by 3.
What are the factors of 77763?
1, 3, 7, 21, 23, 49, 69, 147, 161, 483, 529, 1127, 1587, 3381, 3703, 11109, 25921, 77763.
What is 77763 in binary?
10010111111000011 (hexadecimal 12FC3, octal 227703).
What is the square root of 77763?
About 278.8602, exactly 161√3.
Is 77763 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77763?
77763 is a happy number: repeatedly adding the squares of its digits reaches 1.