The number 16031
16031 is a composite number with 8 divisors. Its prime factorisation is 17 × 23 × 41. Divisors (8): 1, 17, 23, 41, 391, 697, 943, 16031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16031 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16031 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 16031 itself that is 2113, so 16031 is deficient (2113 is less than 16031). Euler's totient φ(16031) = 14080 numbers up to 16031 share no factor with it.
- 4
The digits of 16031 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16031 = 17 \times 23 \times 41 \]
16031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 14080 |
| Square | 256992961 |
| Cube | 4119854157791 |
| Square root | 126.613585 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6031 × |
16031 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and thirty-one |
| Binary (base 2) | 11111010011111 |
| Octal (base 8) | 37237 |
| Hexadecimal (base 16) | 3E9F |
| Base 3 | 210222202 |
| As time | 16031 seconds = 4 h 27 min 11 s |
Is 16031 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16031 a prime number?
No. 16031 = 17 × 23 × 41, so it is divisible by 17.
What are the factors of 16031?
1, 17, 23, 41, 391, 697, 943, 16031.
What is 16031 in binary?
11111010011111 (hexadecimal 3E9F, octal 37237).
What is the square root of 16031?
About 126.6136.
Is 16031 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 16031?
It is a composite number with 8 divisors.