The number 16424
16424 is a composite number with 8 divisors. Its prime factorisation is × 2053. Divisors (8): 1, 2, 4, 8, 2053, 4106, 8212, 16424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16424 is composite. Its prime factorisation is
- 3
The divisors add up to 30810; without 16424 itself that is 14386, so 16424 is deficient (14386 is less than 16424). Euler's totient φ(16424) = 8208 numbers up to 16424 share no factor with it.
- 4
The digits of 16424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16424 = 2^{3} \times 2053 \]16424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30810 |
| Euler totient φ(n) | 8208 |
| Square | 269747776 |
| Cube | 4430337473024 |
| Square root | 128.156155 (= 2√4106) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6424 × |
16424 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and twenty-four |
| Binary (base 2) | 100000000101000 |
| Octal (base 8) | 40050 |
| Hexadecimal (base 16) | 4028 |
| Base 3 | 211112022 |
| As time | 16424 seconds = 4 h 33 min 44 s |
Is 16424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16424 ÷ 2 = 8212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16424 ÷ 4 = 4106) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (16424 ÷ 8 = 2053) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16424 a prime number?
No. 16424 = × 2053, so it is divisible by 2.
What are the factors of 16424?
1, 2, 4, 8, 2053, 4106, 8212, 16424.
What is 16424 in binary?
100000000101000 (hexadecimal 4028, octal 40050).
What is the square root of 16424?
About 128.1562, exactly 2√4106.
Is 16424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16424?
It is a composite number with 8 divisors.