The number 22101
22101 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 139. Divisors (8): 1, 3, 53, 139, 159, 417, 7367, 22101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22101: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22101 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 22101 itself that is 8139, so 22101 is deficient (8139 is less than 22101). Euler's totient φ(22101) = 14352 numbers up to 22101 share no factor with it.
- 4
The digits of 22101 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22101 = 3 \times 53 \times 139 \]
22101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 14352 |
| Square | 488454201 |
| Cube | 10795326296301 |
| Square root | 148.664051 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2101 × |
22101 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and one |
| Binary (base 2) | 101011001010101 |
| Octal (base 8) | 53125 |
| Hexadecimal (base 16) | 5655 |
| Base 3 | 1010022120 |
| As time | 22101 seconds = 6 h 8 min 21 s |
Is 22101 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 (22101 ÷ 3 = 7367) | 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 2) | 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 2) | 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 22101 a prime number?
No. 22101 = 3 × 53 × 139, so it is divisible by 3.
What are the factors of 22101?
1, 3, 53, 139, 159, 417, 7367, 22101.
What is 22101 in binary?
101011001010101 (hexadecimal 5655, octal 53125).
What is the square root of 22101?
About 148.6641.
Is 22101 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 22101?
22101 is a happy number: repeatedly adding the squares of its digits reaches 1.