The number 16029
16029 is a composite number with 12 divisors. Its prime factorisation is × 13 × 137. Divisors (12): 1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343, 16029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16029 is composite. Its prime factorisation is
- 3
The divisors add up to 25116; without 16029 itself that is 9087, so 16029 is deficient (9087 is less than 16029). Euler's totient φ(16029) = 9792 numbers up to 16029 share no factor with it.
- 4
The digits of 16029 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16029 = 3^{2} \times 13 \times 137 \]16029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25116 |
| Euler totient φ(n) | 9792 |
| Square | 256928841 |
| Cube | 4118312392389 |
| Square root | 126.605687 (= 3√1781) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6029 × |
16029 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty-nine |
| Binary (base 2) | 11111010011101 |
| Octal (base 8) | 37235 |
| Hexadecimal (base 16) | 3E9D |
| Base 3 | 210222200 |
| As time | 16029 seconds = 4 h 27 min 9 s |
Is 16029 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 (16029 ÷ 3 = 5343) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16029 ÷ 9 = 1781) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16029 a prime number?
No. 16029 = × 13 × 137, so it is divisible by 3.
What are the factors of 16029?
1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343, 16029.
What is 16029 in binary?
11111010011101 (hexadecimal 3E9D, octal 37235).
What is the square root of 16029?
About 126.6057, exactly 3√1781.
Is 16029 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16029?
It is a composite number with 12 divisors.