The number 7003
7003 is a binary palindrome (1101101011011). Its prime factorisation is 47 × 149. Divisors (4): 1, 47, 149, 7003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7003: a binary palindrome (1101101011011); a semiprime: 47 × 149, the product of two primes.
- 2
7003 is composite. Its prime factorisation is
- 3
The divisors add up to 7200; without 7003 itself that is 197, so 7003 is deficient (197 is less than 7003). Euler's totient φ(7003) = 6808 numbers up to 7003 share no factor with it.
- 4
The digits of 7003 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7003 = 47 \times 149 \]
7003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7200 |
| Euler totient φ(n) | 6808 |
| Square | 49042009 |
| Cube | 343441189027 |
| Square root | 83.683929 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 7.003 × |
7003 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and three |
| Binary (base 2) | 1101101011011 |
| Octal (base 8) | 15533 |
| Hexadecimal (base 16) | 1B5B |
| Base 3 | 100121101 |
| As time | 7003 seconds = 1 h 56 min 43 s |
Is 7003 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 3) | 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 7) | 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 7003 a prime number?
No. 7003 = 47 × 149, so it is divisible by 47.
What are the factors of 7003?
1, 47, 149, 7003.
What is 7003 in binary?
1101101011011 (hexadecimal 1B5B, octal 15533).
What is the square root of 7003?
About 83.6839.
Is 7003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 7003?
7003 is a binary palindrome (1101101011011); a semiprime: 47 × 149, the product of two primes.