The number 40221
40221 is a composite number with 12 divisors. Its prime factorisation is × 41 × 109. Divisors (12): 1, 3, 9, 41, 109, 123, 327, 369, 981, 4469, 13407, 40221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40221: a Harshad number: divisible by its digit sum 9.
- 2
40221 is composite. Its prime factorisation is
- 3
The divisors add up to 60060; without 40221 itself that is 19839, so 40221 is deficient (19839 is less than 40221). Euler's totient φ(40221) = 25920 numbers up to 40221 share no factor with it.
- 4
The digits of 40221 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40221 = 3^{2} \times 41 \times 109 \]40221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60060 |
| Euler totient φ(n) | 25920 |
| Square | 1617728841 |
| Cube | 65066671713861 |
| Square root | 200.551739 (= 3√4469) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0221 × |
40221 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twenty-one |
| Binary (base 2) | 1001110100011101 |
| Octal (base 8) | 116435 |
| Hexadecimal (base 16) | 9D1D |
| Base 3 | 2001011200 |
| As time | 40221 seconds = 11 h 10 min 21 s |
Is 40221 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 (40221 ÷ 3 = 13407) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40221 ÷ 9 = 4469) | 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 40221 a prime number?
No. 40221 = × 41 × 109, so it is divisible by 3.
What are the factors of 40221?
1, 3, 9, 41, 109, 123, 327, 369, 981, 4469, 13407, 40221.
What is 40221 in binary?
1001110100011101 (hexadecimal 9D1D, octal 116435).
What is the square root of 40221?
About 200.5517, exactly 3√4469.
Is 40221 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40221?
40221 is a Harshad number: divisible by its digit sum 9.