The number 16046
16046 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 113. Divisors (8): 1, 2, 71, 113, 142, 226, 8023, 16046.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16046 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16046 is composite. Its prime factorisation is
- 3
The divisors add up to 24624; without 16046 itself that is 8578, so 16046 is deficient (8578 is less than 16046). Euler's totient φ(16046) = 7840 numbers up to 16046 share no factor with it.
- 4
The digits of 16046 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16046 = 2 \times 71 \times 113 \]
16046 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24624 |
| Euler totient φ(n) | 7840 |
| Square | 257474116 |
| Cube | 4131429665336 |
| Square root | 126.672807 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6046 × |
16046 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and forty-six |
| Binary (base 2) | 11111010101110 |
| Octal (base 8) | 37256 |
| Hexadecimal (base 16) | 3EAE |
| Base 3 | 211000022 |
| As time | 16046 seconds = 4 h 27 min 26 s |
Is 16046 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16046 ÷ 2 = 8023) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16046 a prime number?
No. 16046 = 2 × 71 × 113, so it is divisible by 2.
What are the factors of 16046?
1, 2, 71, 113, 142, 226, 8023, 16046.
What is 16046 in binary?
11111010101110 (hexadecimal 3EAE, octal 37256).
What is the square root of 16046?
About 126.6728.
Is 16046 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16046?
It is a composite number with 8 divisors.