The number 16422
16422 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 23. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119 … 16422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16422 is composite. Its prime factorisation is
- 3
The divisors add up to 41472; without 16422 itself that is 25050, so 16422 is abundant (25050 is more than 16422). Euler's totient φ(16422) = 4224 numbers up to 16422 share no factor with it.
- 4
The digits of 16422 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16422 = 2 \times 3 \times 7 \times 17 \times 23 \]
16422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 41472 |
| Euler totient φ(n) | 4224 |
| Square | 269682084 |
| Cube | 4428719183448 |
| Square root | 128.148352 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6422 × |
16422 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty-two |
| Binary (base 2) | 100000000100110 |
| Octal (base 8) | 40046 |
| Hexadecimal (base 16) | 4026 |
| Base 3 | 211112020 |
| As time | 16422 seconds = 4 h 33 min 42 s |
Is 16422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16422 ÷ 2 = 8211) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16422 ÷ 3 = 5474) | 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 (16422 ÷ 6 = 2737) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16422 ÷ 7 = 2346) | 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 6) | 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 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16422 a prime number?
No. 16422 = 2 × 3 × 7 × 17 × 23, so it is divisible by 2.
What are the factors of 16422?
1, 2, 3, 6, 7, 14, 17, 21, 23, 34, 42, 46, 51, 69, 102, 119, 138, 161, 238, 322, 357, 391, 483, 714, 782, 966, 1173, 2346, 2737, 5474, 8211, 16422.
What is 16422 in binary?
100000000100110 (hexadecimal 4026, octal 40046).
What is the square root of 16422?
About 128.1484.
Is 16422 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16422?
It is a composite number with 32 divisors.