The number 22672
22672 is a composite number with 20 divisors. Its prime factorisation is × 13 × 109. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 109, 208, 218, 436, 872, 1417, 1744 … 22672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22672: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22672 is composite. Its prime factorisation is
- 3
The divisors add up to 47740; without 22672 itself that is 25068, so 22672 is abundant (25068 is more than 22672). Euler's totient φ(22672) = 10368 numbers up to 22672 share no factor with it.
- 4
The digits of 22672 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22672 = 2^{4} \times 13 \times 109 \]22672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 47740 |
| Euler totient φ(n) | 10368 |
| Square | 514019584 |
| Cube | 11653852008448 |
| Square root | 150.572242 (= 4√1417) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.2672 × |
22672 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand six hundred and seventy-two |
| Binary (base 2) | 101100010010000 |
| Octal (base 8) | 54220 |
| Hexadecimal (base 16) | 5890 |
| Base 3 | 1011002201 |
| As time | 22672 seconds = 6 h 17 min 52 s |
Is 22672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22672 ÷ 2 = 11336) | 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 | Yes (22672 ÷ 4 = 5668) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (22672 ÷ 8 = 2834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22672 a prime number?
No. 22672 = × 13 × 109, so it is divisible by 2.
What are the factors of 22672?
1, 2, 4, 8, 13, 16, 26, 52, 104, 109, 208, 218, 436, 872, 1417, 1744, 2834, 5668, 11336, 22672.
What is 22672 in binary?
101100010010000 (hexadecimal 5890, octal 54220).
What is the square root of 22672?
About 150.5722, exactly 4√1417.
Is 22672 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 22672?
22672 is a happy number: repeatedly adding the squares of its digits reaches 1.