The number 16038
16038 is a composite number with 28 divisors. Its prime factorisation is 2 × × 11. Divisors (28): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198 … 16038.
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How to work it out
- 1
What is special about 16038: a Harshad number: divisible by its digit sum 18.
- 2
16038 is composite. Its prime factorisation is
- 3
The divisors add up to 39348; without 16038 itself that is 23310, so 16038 is abundant (23310 is more than 16038). Euler's totient φ(16038) = 4860 numbers up to 16038 share no factor with it.
- 4
The digits of 16038 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16038 = 2 \times 3^{6} \times 11 \]16038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 39348 |
| Euler totient φ(n) | 4860 |
| Square | 257217444 |
| Cube | 4125253366872 |
| Square root | 126.641226 (= 27√22) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6038 × |
16038 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and thirty-eight |
| Binary (base 2) | 11111010100110 |
| Octal (base 8) | 37246 |
| Hexadecimal (base 16) | 3EA6 |
| Base 3 | 211000000 |
| As time | 16038 seconds = 4 h 27 min 18 s |
Is 16038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16038 ÷ 2 = 8019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16038 ÷ 3 = 5346) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (16038 ÷ 6 = 2673) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16038 ÷ 9 = 1782) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16038 ÷ 11 = 1458) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16038 a prime number?
No. 16038 = 2 × × 11, so it is divisible by 2.
What are the factors of 16038?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 729, 891, 1458, 1782, 2673, 5346, 8019, 16038.
What is 16038 in binary?
11111010100110 (hexadecimal 3EA6, octal 37246).
What is the square root of 16038?
About 126.6412, exactly 27√22.
Is 16038 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16038?
16038 is a Harshad number: divisible by its digit sum 18.