The number 16003
16003 is a composite number with 4 divisors. Its prime factorisation is 13 × 1231. Divisors (4): 1, 13, 1231, 16003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16003: a semiprime: 13 × 1231, the product of two primes.
- 2
16003 is composite. Its prime factorisation is
- 3
The divisors add up to 17248; without 16003 itself that is 1245, so 16003 is deficient (1245 is less than 16003). Euler's totient φ(16003) = 14760 numbers up to 16003 share no factor with it.
- 4
The digits of 16003 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16003 = 13 \times 1231 \]
16003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17248 |
| Euler totient φ(n) | 14760 |
| Square | 256096009 |
| Cube | 4098304432027 |
| Square root | 126.502964 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6003 × |
16003 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and three |
| Binary (base 2) | 11111010000011 |
| Octal (base 8) | 37203 |
| Hexadecimal (base 16) | 3E83 |
| Base 3 | 210221201 |
| As time | 16003 seconds = 4 h 26 min 43 s |
Is 16003 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 3) | 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 | 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 3) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16003 a prime number?
No. 16003 = 13 × 1231, so it is divisible by 13.
What are the factors of 16003?
1, 13, 1231, 16003.
What is 16003 in binary?
11111010000011 (hexadecimal 3E83, octal 37203).
What is the square root of 16003?
About 126.5030.
Is 16003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 16003?
16003 is a semiprime: 13 × 1231, the product of two primes.