The number 16722
16722 is a composite number with 12 divisors. Its prime factorisation is 2 × × 929. Divisors (12): 1, 2, 3, 6, 9, 18, 929, 1858, 2787, 5574, 8361, 16722.
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How to work it out
- 1
What is special about 16722: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
16722 is composite. Its prime factorisation is
- 3
The divisors add up to 36270; without 16722 itself that is 19548, so 16722 is abundant (19548 is more than 16722). Euler's totient φ(16722) = 5568 numbers up to 16722 share no factor with it.
- 4
The digits of 16722 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16722 = 2 \times 3^{2} \times 929 \]16722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36270 |
| Euler totient φ(n) | 5568 |
| Square | 279625284 |
| Cube | 4675893999048 |
| Square root | 129.313572 (= 3√1858) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6722 × |
16722 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and twenty-two |
| Binary (base 2) | 100000101010010 |
| Octal (base 8) | 40522 |
| Hexadecimal (base 16) | 4152 |
| Base 3 | 211221100 |
| As time | 16722 seconds = 4 h 38 min 42 s |
Is 16722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16722 ÷ 2 = 8361) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16722 ÷ 3 = 5574) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (16722 ÷ 6 = 2787) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16722 ÷ 9 = 1858) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16722 a prime number?
No. 16722 = 2 × × 929, so it is divisible by 2.
What are the factors of 16722?
1, 2, 3, 6, 9, 18, 929, 1858, 2787, 5574, 8361, 16722.
What is 16722 in binary?
100000101010010 (hexadecimal 4152, octal 40522).
What is the square root of 16722?
About 129.3136, exactly 3√1858.
Is 16722 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16722?
16722 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.