The number 16624
16624 is a composite number with 10 divisors. Its prime factorisation is × 1039. Divisors (10): 1, 2, 4, 8, 16, 1039, 2078, 4156, 8312, 16624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16624 is composite. Its prime factorisation is
- 3
The divisors add up to 32240; without 16624 itself that is 15616, so 16624 is deficient (15616 is less than 16624). Euler's totient φ(16624) = 8304 numbers up to 16624 share no factor with it.
- 4
The digits of 16624 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16624 = 2^{4} \times 1039 \]16624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 32240 |
| Euler totient φ(n) | 8304 |
| Square | 276357376 |
| Cube | 4594165018624 |
| Square root | 128.934092 (= 4√1039) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6624 × |
16624 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and twenty-four |
| Binary (base 2) | 100000011110000 |
| Octal (base 8) | 40360 |
| Hexadecimal (base 16) | 40F0 |
| Base 3 | 211210201 |
| As time | 16624 seconds = 4 h 37 min 4 s |
Is 16624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16624 ÷ 2 = 8312) | 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 (16624 ÷ 4 = 4156) | 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 6) | 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 (16624 ÷ 8 = 2078) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 16624 a prime number?
No. 16624 = × 1039, so it is divisible by 2.
What are the factors of 16624?
1, 2, 4, 8, 16, 1039, 2078, 4156, 8312, 16624.
What is 16624 in binary?
100000011110000 (hexadecimal 40F0, octal 40360).
What is the square root of 16624?
About 128.9341, exactly 4√1039.
Is 16624 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16624?
It is a composite number with 10 divisors.