The number 77027
77027 is a composite number with 8 divisors. Its prime factorisation is 17 × 23 × 197. Divisors (8): 1, 17, 23, 197, 391, 3349, 4531, 77027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77027: a Harshad number: divisible by its digit sum 23.
- 2
77027 is composite. Its prime factorisation is
- 3
The divisors add up to 85536; without 77027 itself that is 8509, so 77027 is deficient (8509 is less than 77027). Euler's totient φ(77027) = 68992 numbers up to 77027 share no factor with it.
- 4
The digits of 77027 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77027 = 17 \times 23 \times 197 \]
77027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 85536 |
| Euler totient φ(n) | 68992 |
| Square | 5933158729 |
| Cube | 457013417418683 |
| Square root | 277.537385 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7027 × |
77027 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twenty-seven |
| Binary (base 2) | 10010110011100011 |
| Octal (base 8) | 226343 |
| Hexadecimal (base 16) | 12CE3 |
| Base 3 | 10220122212 |
| As time | 77027 seconds = 21 h 23 min 47 s |
Is 77027 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 2) | 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 5) | 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 5) | 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 77027 a prime number?
No. 77027 = 17 × 23 × 197, so it is divisible by 17.
What are the factors of 77027?
1, 17, 23, 197, 391, 3349, 4531, 77027.
What is 77027 in binary?
10010110011100011 (hexadecimal 12CE3, octal 226343).
What is the square root of 77027?
About 277.5374.
Is 77027 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77027?
77027 is a Harshad number: divisible by its digit sum 23.