The number 77221
77221 is a composite number with 8 divisors. Its prime factorisation is 31 × 47 × 53. Divisors (8): 1, 31, 47, 53, 1457, 1643, 2491, 77221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77221 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77221 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 77221 itself that is 5723, so 77221 is deficient (5723 is less than 77221). Euler's totient φ(77221) = 71760 numbers up to 77221 share no factor with it.
- 4
The digits of 77221 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77221 = 31 \times 47 \times 53 \]
77221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 71760 |
| Square | 5963082841 |
| Cube | 460475220064861 |
| Square root | 277.886668 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7221 × |
77221 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and twenty-one |
| Binary (base 2) | 10010110110100101 |
| Octal (base 8) | 226645 |
| Hexadecimal (base 16) | 12DA5 |
| Base 3 | 10220221001 |
| As time | 77221 seconds = 21 h 27 min 1 s |
Is 77221 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77221 a prime number?
No. 77221 = 31 × 47 × 53, so it is divisible by 31.
What are the factors of 77221?
1, 31, 47, 53, 1457, 1643, 2491, 77221.
What is 77221 in binary?
10010110110100101 (hexadecimal 12DA5, octal 226645).
What is the square root of 77221?
About 277.8867.
Is 77221 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77221?
It is a composite number with 8 divisors.