The number 77363
77363 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 541. Divisors (8): 1, 11, 13, 143, 541, 5951, 7033, 77363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77363 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77363 is composite. Its prime factorisation is
- 3
The divisors add up to 91056; without 77363 itself that is 13693, so 77363 is deficient (13693 is less than 77363). Euler's totient φ(77363) = 64800 numbers up to 77363 share no factor with it.
- 4
The digits of 77363 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77363 = 11 \times 13 \times 541 \]
77363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 91056 |
| Euler totient φ(n) | 64800 |
| Square | 5985033769 |
| Cube | 463020167471147 |
| Square root | 278.142050 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7363 × |
77363 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixty-three |
| Binary (base 2) | 10010111000110011 |
| Octal (base 8) | 227063 |
| Hexadecimal (base 16) | 12E33 |
| Base 3 | 10221010022 |
| As time | 77363 seconds = 21 h 29 min 23 s |
Is 77363 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 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (77363 ÷ 11 = 7033) | 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 77363 a prime number?
No. 77363 = 11 × 13 × 541, so it is divisible by 11.
What are the factors of 77363?
1, 11, 13, 143, 541, 5951, 7033, 77363.
What is 77363 in binary?
10010111000110011 (hexadecimal 12E33, octal 227063).
What is the square root of 77363?
About 278.1421.
Is 77363 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77363?
It is a composite number with 8 divisors.