The number 16009
16009 is a composite number with 4 divisors. Its prime factorisation is 7 × 2287. Divisors (4): 1, 7, 2287, 16009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16009: a semiprime: 7 × 2287, the product of two primes.
- 2
16009 is composite. Its prime factorisation is
- 3
The divisors add up to 18304; without 16009 itself that is 2295, so 16009 is deficient (2295 is less than 16009). Euler's totient φ(16009) = 13716 numbers up to 16009 share no factor with it.
- 4
The digits of 16009 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16009 = 7 \times 2287 \]
16009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18304 |
| Euler totient φ(n) | 13716 |
| Square | 256288081 |
| Cube | 4102915888729 |
| Square root | 126.526677 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6009 × |
16009 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and nine |
| Binary (base 2) | 11111010001001 |
| Octal (base 8) | 37211 |
| Hexadecimal (base 16) | 3E89 |
| Base 3 | 210221221 |
| As time | 16009 seconds = 4 h 26 min 49 s |
Is 16009 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 4) | 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 (16009 ÷ 7 = 2287) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 16009 a prime number?
No. 16009 = 7 × 2287, so it is divisible by 7.
What are the factors of 16009?
1, 7, 2287, 16009.
What is 16009 in binary?
11111010001001 (hexadecimal 3E89, octal 37211).
What is the square root of 16009?
About 126.5267.
Is 16009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16009?
16009 is a semiprime: 7 × 2287, the product of two primes.