The number 77321
77321 is a composite number with 4 divisors. Its prime factorisation is 167 × 463. Divisors (4): 1, 167, 463, 77321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77321: a semiprime: 167 × 463, the product of two primes.
- 2
77321 is composite. Its prime factorisation is
- 3
The divisors add up to 77952; without 77321 itself that is 631, so 77321 is deficient (631 is less than 77321). Euler's totient φ(77321) = 76692 numbers up to 77321 share no factor with it.
- 4
The digits of 77321 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77321 = 167 \times 463 \]
77321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 77952 |
| Euler totient φ(n) | 76692 |
| Square | 5978537041 |
| Cube | 462266462547161 |
| Square root | 278.066539 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7321 × |
77321 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-one |
| Binary (base 2) | 10010111000001001 |
| Octal (base 8) | 227011 |
| Hexadecimal (base 16) | 12E09 |
| Base 3 | 10221001202 |
| As time | 77321 seconds = 21 h 28 min 41 s |
Is 77321 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 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77321 a prime number?
No. 77321 = 167 × 463, so it is divisible by 167.
What are the factors of 77321?
1, 167, 463, 77321.
What is 77321 in binary?
10010111000001001 (hexadecimal 12E09, octal 227011).
What is the square root of 77321?
About 278.0665.
Is 77321 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77321?
77321 is a semiprime: 167 × 463, the product of two primes.