The number 16408
16408 is a composite number with 16 divisors. Its prime factorisation is × 7 × 293. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 293, 586, 1172, 2051, 2344, 4102, 8204, 16408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16408 is composite. Its prime factorisation is
- 3
The divisors add up to 35280; without 16408 itself that is 18872, so 16408 is abundant (18872 is more than 16408). Euler's totient φ(16408) = 7008 numbers up to 16408 share no factor with it.
- 4
The digits of 16408 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16408 = 2^{3} \times 7 \times 293 \]16408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 35280 |
| Euler totient φ(n) | 7008 |
| Square | 269222464 |
| Cube | 4417402189312 |
| Square root | 128.093716 (= 2√4102) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6408 × |
16408 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and eight |
| Binary (base 2) | 100000000011000 |
| Octal (base 8) | 40030 |
| Hexadecimal (base 16) | 4018 |
| Base 3 | 211111201 |
| As time | 16408 seconds = 4 h 33 min 28 s |
Is 16408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16408 ÷ 2 = 8204) | 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 (16408 ÷ 4 = 4102) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16408 ÷ 7 = 2344) | 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 (16408 ÷ 8 = 2051) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 16408 a prime number?
No. 16408 = × 7 × 293, so it is divisible by 2.
What are the factors of 16408?
1, 2, 4, 7, 8, 14, 28, 56, 293, 586, 1172, 2051, 2344, 4102, 8204, 16408.
What is 16408 in binary?
100000000011000 (hexadecimal 4018, octal 40030).
What is the square root of 16408?
About 128.0937, exactly 2√4102.
Is 16408 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16408?
It is a composite number with 16 divisors.