The number 17221
17221 is a composite number with 4 divisors. Its prime factorisation is 17 × 1013. Divisors (4): 1, 17, 1013, 17221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17221: a semiprime: 17 × 1013, the product of two primes.
- 2
17221 is composite. Its prime factorisation is
- 3
The divisors add up to 18252; without 17221 itself that is 1031, so 17221 is deficient (1031 is less than 17221). Euler's totient φ(17221) = 16192 numbers up to 17221 share no factor with it.
- 4
The digits of 17221 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17221 = 17 \times 1013 \]
17221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18252 |
| Euler totient φ(n) | 16192 |
| Square | 296562841 |
| Cube | 5107108684861 |
| Square root | 131.228808 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7221 × |
17221 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand two hundred and twenty-one |
| Binary (base 2) | 100001101000101 |
| Octal (base 8) | 41505 |
| Hexadecimal (base 16) | 4345 |
| Base 3 | 212121211 |
| As time | 17221 seconds = 4 h 47 min 1 s |
Is 17221 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 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 4) | 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 6) | 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 17221 a prime number?
No. 17221 = 17 × 1013, so it is divisible by 17.
What are the factors of 17221?
1, 17, 1013, 17221.
What is 17221 in binary?
100001101000101 (hexadecimal 4345, octal 41505).
What is the square root of 17221?
About 131.2288.
Is 17221 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17221?
17221 is a semiprime: 17 × 1013, the product of two primes.