The number 77827
77827 is a composite number with 4 divisors. Its prime factorisation is 223 × 349. Divisors (4): 1, 223, 349, 77827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77827: a semiprime: 223 × 349, the product of two primes.
- 2
77827 is composite. Its prime factorisation is
- 3
The divisors add up to 78400; without 77827 itself that is 573, so 77827 is deficient (573 is less than 77827). Euler's totient φ(77827) = 77256 numbers up to 77827 share no factor with it.
- 4
The digits of 77827 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77827 = 223 \times 349 \]
77827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 78400 |
| Euler totient φ(n) | 77256 |
| Square | 6057041929 |
| Cube | 471401402208283 |
| Square root | 278.974909 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7827 × |
77827 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and twenty-seven |
| Binary (base 2) | 10011000000000011 |
| Octal (base 8) | 230003 |
| Hexadecimal (base 16) | 13003 |
| Base 3 | 10221202111 |
| As time | 77827 seconds = 21 h 37 min 7 s |
Is 77827 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 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77827 a prime number?
No. 77827 = 223 × 349, so it is divisible by 223.
What are the factors of 77827?
1, 223, 349, 77827.
What is 77827 in binary?
10011000000000011 (hexadecimal 13003, octal 230003).
What is the square root of 77827?
About 278.9749.
Is 77827 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77827?
77827 is a semiprime: 223 × 349, the product of two primes.