The number 77883
77883 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 1997. Divisors (8): 1, 3, 13, 39, 1997, 5991, 25961, 77883.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77883 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77883 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 77883 itself that is 34005, so 77883 is deficient (34005 is less than 77883). Euler's totient φ(77883) = 47904 numbers up to 77883 share no factor with it.
- 4
The digits of 77883 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77883 = 3 \times 13 \times 1997 \]
77883 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 47904 |
| Square | 6065761689 |
| Cube | 472419717624387 |
| Square root | 279.075259 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7883 × |
77883 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and eighty-three |
| Binary (base 2) | 10011000000111011 |
| Octal (base 8) | 230073 |
| Hexadecimal (base 16) | 1303B |
| Base 3 | 10221211120 |
| As time | 77883 seconds = 21 h 38 min 3 s |
Is 77883 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 (77883 ÷ 3 = 25961) | 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 | No (remainder 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 77883 a prime number?
No. 77883 = 3 × 13 × 1997, so it is divisible by 3.
What are the factors of 77883?
1, 3, 13, 39, 1997, 5991, 25961, 77883.
What is 77883 in binary?
10011000000111011 (hexadecimal 1303B, octal 230073).
What is the square root of 77883?
About 279.0753.
Is 77883 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 77883?
It is a composite number with 8 divisors.