The number 16504
16504 is a composite number with 8 divisors. Its prime factorisation is × 2063. Divisors (8): 1, 2, 4, 8, 2063, 4126, 8252, 16504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16504 is composite. Its prime factorisation is
- 3
The divisors add up to 30960; without 16504 itself that is 14456, so 16504 is deficient (14456 is less than 16504). Euler's totient φ(16504) = 8248 numbers up to 16504 share no factor with it.
- 4
The digits of 16504 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16504 = 2^{3} \times 2063 \]16504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30960 |
| Euler totient φ(n) | 8248 |
| Square | 272382016 |
| Cube | 4495392792064 |
| Square root | 128.467895 (= 2√4126) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.6504 × |
16504 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand five hundred and four |
| Binary (base 2) | 100000001111000 |
| Octal (base 8) | 40170 |
| Hexadecimal (base 16) | 4078 |
| Base 3 | 211122021 |
| As time | 16504 seconds = 4 h 35 min 4 s |
Is 16504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16504 ÷ 2 = 8252) | 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 (16504 ÷ 4 = 4126) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (16504 ÷ 8 = 2063) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 16504 a prime number?
No. 16504 = × 2063, so it is divisible by 2.
What are the factors of 16504?
1, 2, 4, 8, 2063, 4126, 8252, 16504.
What is 16504 in binary?
100000001111000 (hexadecimal 4078, octal 40170).
What is the square root of 16504?
About 128.4679, exactly 2√4126.
Is 16504 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16504?
It is a composite number with 8 divisors.