The number 16032
16032 is a composite number with 24 divisors. Its prime factorisation is × 3 × 167. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 167, 334, 501, 668 … 16032.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16032: a Harshad number: divisible by its digit sum 12.
- 2
16032 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 16032 itself that is 26304, so 16032 is abundant (26304 is more than 16032). Euler's totient φ(16032) = 5312 numbers up to 16032 share no factor with it.
- 4
The digits of 16032 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16032 = 2^{5} \times 3 \times 167 \]16032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 5312 |
| Square | 257025024 |
| Cube | 4120625184768 |
| Square root | 126.617534 (= 4√1002) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6032 × |
16032 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and thirty-two |
| Binary (base 2) | 11111010100000 |
| Octal (base 8) | 37240 |
| Hexadecimal (base 16) | 3EA0 |
| Base 3 | 210222210 |
| As time | 16032 seconds = 4 h 27 min 12 s |
Is 16032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16032 ÷ 2 = 8016) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16032 ÷ 3 = 5344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16032 ÷ 4 = 4008) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16032 ÷ 6 = 2672) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (16032 ÷ 8 = 2004) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16032 ÷ 12 = 1336) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16032 a prime number?
No. 16032 = × 3 × 167, so it is divisible by 2.
What are the factors of 16032?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016, 16032.
What is 16032 in binary?
11111010100000 (hexadecimal 3EA0, octal 37240).
What is the square root of 16032?
About 126.6175, exactly 4√1002.
Is 16032 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16032?
16032 is a Harshad number: divisible by its digit sum 12.