The number 16388
16388 is a composite number with 12 divisors. Its prime factorisation is × 17 × 241. Divisors (12): 1, 2, 4, 17, 34, 68, 241, 482, 964, 4097, 8194, 16388.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16388 is composite. Its prime factorisation is
- 3
The divisors add up to 30492; without 16388 itself that is 14104, so 16388 is deficient (14104 is less than 16388). Euler's totient φ(16388) = 7680 numbers up to 16388 share no factor with it.
- 4
The digits of 16388 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16388 = 2^{2} \times 17 \times 241 \]16388 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30492 |
| Euler totient φ(n) | 7680 |
| Square | 268566544 |
| Cube | 4401268523072 |
| Square root | 128.015624 (= 2√4097) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6388 × |
16388 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and eighty-eight |
| Binary (base 2) | 100000000000100 |
| Octal (base 8) | 40004 |
| Hexadecimal (base 16) | 4004 |
| Base 3 | 211110222 |
| As time | 16388 seconds = 4 h 33 min 8 s |
Is 16388 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16388 ÷ 2 = 8194) | 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 (16388 ÷ 4 = 4097) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 16388 a prime number?
No. 16388 = × 17 × 241, so it is divisible by 2.
What are the factors of 16388?
1, 2, 4, 17, 34, 68, 241, 482, 964, 4097, 8194, 16388.
What is 16388 in binary?
100000000000100 (hexadecimal 4004, octal 40004).
What is the square root of 16388?
About 128.0156, exactly 2√4097.
Is 16388 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16388?
It is a composite number with 12 divisors.