The number 56221
56221 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 269. Divisors (8): 1, 11, 19, 209, 269, 2959, 5111, 56221.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56221: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56221 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 56221 itself that is 8579, so 56221 is deficient (8579 is less than 56221). Euler's totient φ(56221) = 48240 numbers up to 56221 share no factor with it.
- 4
The digits of 56221 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56221 = 11 \times 19 \times 269 \]
56221 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 48240 |
| Square | 3160800841 |
| Cube | 177703384081861 |
| Square root | 237.109679 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.6221 × |
56221 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand two hundred and twenty-one |
| Binary (base 2) | 1101101110011101 |
| Octal (base 8) | 155635 |
| Hexadecimal (base 16) | DB9D |
| Base 3 | 2212010021 |
| As time | 56221 seconds = 15 h 37 min 1 s |
Is 56221 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 4) | 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 7) | 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 | Yes (56221 ÷ 11 = 5111) | 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 56221 a prime number?
No. 56221 = 11 × 19 × 269, so it is divisible by 11.
What are the factors of 56221?
1, 11, 19, 209, 269, 2959, 5111, 56221.
What is 56221 in binary?
1101101110011101 (hexadecimal DB9D, octal 155635).
What is the square root of 56221?
About 237.1097.
Is 56221 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 56221?
56221 is a happy number: repeatedly adding the squares of its digits reaches 1.