The number 88221
88221 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 4201. Divisors (8): 1, 3, 7, 21, 4201, 12603, 29407, 88221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88221: a Harshad number: divisible by its digit sum 21.
- 2
88221 is composite. Its prime factorisation is
- 3
The divisors add up to 134464; without 88221 itself that is 46243, so 88221 is deficient (46243 is less than 88221). Euler's totient φ(88221) = 50400 numbers up to 88221 share no factor with it.
- 4
The digits of 88221 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88221 = 3 \times 7 \times 4201 \]
88221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 134464 |
| Euler totient φ(n) | 50400 |
| Square | 7782944841 |
| Cube | 686619176817861 |
| Square root | 297.020201 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.8221 × |
88221 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand two hundred and twenty-one |
| Binary (base 2) | 10101100010011101 |
| Octal (base 8) | 254235 |
| Hexadecimal (base 16) | 1589D |
| Base 3 | 11111000110 |
| As time | 88221 seconds = 24 h 30 min 21 s |
Is 88221 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 (88221 ÷ 3 = 29407) | 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 | Yes (88221 ÷ 7 = 12603) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88221 a prime number?
No. 88221 = 3 × 7 × 4201, so it is divisible by 3.
What are the factors of 88221?
1, 3, 7, 21, 4201, 12603, 29407, 88221.
What is 88221 in binary?
10101100010011101 (hexadecimal 1589D, octal 254235).
What is the square root of 88221?
About 297.0202.
Is 88221 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 88221?
88221 is a Harshad number: divisible by its digit sum 21.