The number 73221
73221 is a composite number with 4 divisors. Its prime factorisation is 3 × 24407. Divisors (4): 1, 3, 24407, 73221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73221: a semiprime: 3 × 24407, the product of two primes.
- 2
73221 is composite. Its prime factorisation is
- 3
The divisors add up to 97632; without 73221 itself that is 24411, so 73221 is deficient (24411 is less than 73221). Euler's totient φ(73221) = 48812 numbers up to 73221 share no factor with it.
- 4
The digits of 73221 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73221 = 3 \times 24407 \]
73221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 97632 |
| Euler totient φ(n) | 48812 |
| Square | 5361314841 |
| Cube | 392560833972861 |
| Square root | 270.593792 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3221 × |
73221 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and twenty-one |
| Binary (base 2) | 10001111000000101 |
| Octal (base 8) | 217005 |
| Hexadecimal (base 16) | 11E05 |
| Base 3 | 10201102220 |
| As time | 73221 seconds = 20 h 20 min 21 s |
Is 73221 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 (73221 ÷ 3 = 24407) | 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 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 5) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73221 a prime number?
No. 73221 = 3 × 24407, so it is divisible by 3.
What are the factors of 73221?
1, 3, 24407, 73221.
What is 73221 in binary?
10001111000000101 (hexadecimal 11E05, octal 217005).
What is the square root of 73221?
About 270.5938.
Is 73221 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 73221?
73221 is a semiprime: 3 × 24407, the product of two primes.