The number 22131
22131 is a composite number with 6 divisors. Its prime factorisation is × 2459. Divisors (6): 1, 3, 9, 2459, 7377, 22131.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22131: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
22131 is composite. Its prime factorisation is
- 3
The divisors add up to 31980; without 22131 itself that is 9849, so 22131 is deficient (9849 is less than 22131). Euler's totient φ(22131) = 14748 numbers up to 22131 share no factor with it.
- 4
The digits of 22131 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 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22131 = 3^{2} \times 2459 \]22131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 31980 |
| Euler totient φ(n) | 14748 |
| Square | 489781161 |
| Cube | 10839346874091 |
| Square root | 148.764915 (= 3√2459) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 162 |
| Scientific notation | 2.2131 × |
22131 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and thirty-one |
| Binary (base 2) | 101011001110011 |
| Octal (base 8) | 53163 |
| Hexadecimal (base 16) | 5673 |
| Base 3 | 1010100200 |
| As time | 22131 seconds = 6 h 8 min 51 s |
Is 22131 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 (22131 ÷ 3 = 7377) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22131 ÷ 9 = 2459) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22131 a prime number?
No. 22131 = × 2459, so it is divisible by 3.
What are the factors of 22131?
1, 3, 9, 2459, 7377, 22131.
What is 22131 in binary?
101011001110011 (hexadecimal 5673, octal 53163).
What is the square root of 22131?
About 148.7649, exactly 3√2459.
Is 22131 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22131?
22131 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.