The number 22113
22113 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13. Divisors (24): 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 243, 273, 351 … 22113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22113: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
22113 is composite. Its prime factorisation is
- 3
The divisors add up to 40768; without 22113 itself that is 18655, so 22113 is deficient (18655 is less than 22113). Euler's totient φ(22113) = 11664 numbers up to 22113 share no factor with it.
- 4
The digits of 22113 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22113 = 3^{5} \times 7 \times 13 \]22113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40768 |
| Euler totient φ(n) | 11664 |
| Square | 488984769 |
| Cube | 10812920196897 |
| Square root | 148.704405 (= 9√273) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.2113 × |
22113 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and thirteen |
| Binary (base 2) | 101011001100001 |
| Octal (base 8) | 53141 |
| Hexadecimal (base 16) | 5661 |
| Base 3 | 1010100000 |
| As time | 22113 seconds = 6 h 8 min 33 s |
Is 22113 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 (22113 ÷ 3 = 7371) | 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 3) | 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 (22113 ÷ 7 = 3159) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (22113 ÷ 9 = 2457) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 22113 a prime number?
No. 22113 = × 7 × 13, so it is divisible by 3.
What are the factors of 22113?
1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 243, 273, 351, 567, 819, 1053, 1701, 2457, 3159, 7371, 22113.
What is 22113 in binary?
101011001100001 (hexadecimal 5661, octal 53141).
What is the square root of 22113?
About 148.7044, exactly 9√273.
Is 22113 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22113?
22113 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.