The number 16044
16044 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 191. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 191, 382, 573, 764 … 16044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16044 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16044 is composite. Its prime factorisation is
- 3
The divisors add up to 43008; without 16044 itself that is 26964, so 16044 is abundant (26964 is more than 16044). Euler's totient φ(16044) = 4560 numbers up to 16044 share no factor with it.
- 4
The digits of 16044 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16044 = 2^{2} \times 3 \times 7 \times 191 \]16044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 43008 |
| Euler totient φ(n) | 4560 |
| Square | 257409936 |
| Cube | 4129885013184 |
| Square root | 126.664912 (= 2√4011) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6044 × |
16044 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and forty-four |
| Binary (base 2) | 11111010101100 |
| Octal (base 8) | 37254 |
| Hexadecimal (base 16) | 3EAC |
| Base 3 | 211000020 |
| As time | 16044 seconds = 4 h 27 min 24 s |
Is 16044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16044 ÷ 2 = 8022) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16044 ÷ 3 = 5348) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16044 ÷ 4 = 4011) | 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 | Yes (16044 ÷ 6 = 2674) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16044 ÷ 7 = 2292) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16044 ÷ 12 = 1337) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16044 a prime number?
No. 16044 = × 3 × 7 × 191, so it is divisible by 2.
What are the factors of 16044?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 191, 382, 573, 764, 1146, 1337, 2292, 2674, 4011, 5348, 8022, 16044.
What is 16044 in binary?
11111010101100 (hexadecimal 3EAC, octal 37254).
What is the square root of 16044?
About 126.6649, exactly 2√4011.
Is 16044 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16044?
It is a composite number with 24 divisors.