The number 16023
16023 is a composite number with 12 divisors. Its prime factorisation is 3 × × 109. Divisors (12): 1, 3, 7, 21, 49, 109, 147, 327, 763, 2289, 5341, 16023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16023 is composite. Its prime factorisation is
- 3
The divisors add up to 25080; without 16023 itself that is 9057, so 16023 is deficient (9057 is less than 16023). Euler's totient φ(16023) = 9072 numbers up to 16023 share no factor with it.
- 4
The digits of 16023 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16023 = 3 \times 7^{2} \times 109 \]16023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25080 |
| Euler totient φ(n) | 9072 |
| Square | 256736529 |
| Cube | 4113689404167 |
| Square root | 126.581989 (= 7√327) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6023 × |
16023 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty-three |
| Binary (base 2) | 11111010010111 |
| Octal (base 8) | 37227 |
| Hexadecimal (base 16) | 3E97 |
| Base 3 | 210222110 |
| As time | 16023 seconds = 4 h 27 min 3 s |
Is 16023 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16023 ÷ 3 = 5341) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16023 ÷ 7 = 2289) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16023 a prime number?
No. 16023 = 3 × × 109, so it is divisible by 3.
What are the factors of 16023?
1, 3, 7, 21, 49, 109, 147, 327, 763, 2289, 5341, 16023.
What is 16023 in binary?
11111010010111 (hexadecimal 3E97, octal 37227).
What is the square root of 16023?
About 126.5820, exactly 7√327.
Is 16023 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16023?
It is a composite number with 12 divisors.