The number 16093
16093 is a composite number with 12 divisors. Its prime factorisation is 7 × × 19. Divisors (12): 1, 7, 11, 19, 77, 121, 133, 209, 847, 1463, 2299, 16093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16093: a Harshad number: divisible by its digit sum 19.
- 2
16093 is composite. Its prime factorisation is
- 3
The divisors add up to 21280; without 16093 itself that is 5187, so 16093 is deficient (5187 is less than 16093). Euler's totient φ(16093) = 11880 numbers up to 16093 share no factor with it.
- 4
The digits of 16093 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16093 = 7 \times 11^{2} \times 19 \]16093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21280 |
| Euler totient φ(n) | 11880 |
| Square | 258984649 |
| Cube | 4167839956357 |
| Square root | 126.858189 (= 11√133) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6093 × |
16093 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and ninety-three |
| Binary (base 2) | 11111011011101 |
| Octal (base 8) | 37335 |
| Hexadecimal (base 16) | 3EDD |
| Base 3 | 211002001 |
| As time | 16093 seconds = 4 h 28 min 13 s |
Is 16093 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16093 ÷ 7 = 2299) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16093 ÷ 11 = 1463) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16093 a prime number?
No. 16093 = 7 × × 19, so it is divisible by 7.
What are the factors of 16093?
1, 7, 11, 19, 77, 121, 133, 209, 847, 1463, 2299, 16093.
What is 16093 in binary?
11111011011101 (hexadecimal 3EDD, octal 37335).
What is the square root of 16093?
About 126.8582, exactly 11√133.
Is 16093 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 16093?
16093 is a Harshad number: divisible by its digit sum 19.