The number 73003
73003 is a composite number with 4 divisors. Its prime factorisation is 7 × 10429. Divisors (4): 1, 7, 10429, 73003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73003: a semiprime: 7 × 10429, the product of two primes.
- 2
73003 is composite. Its prime factorisation is
- 3
The divisors add up to 83440; without 73003 itself that is 10437, so 73003 is deficient (10437 is less than 73003). Euler's totient φ(73003) = 62568 numbers up to 73003 share no factor with it.
- 4
The digits of 73003 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73003 = 7 \times 10429 \]
73003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83440 |
| Euler totient φ(n) | 62568 |
| Square | 5329438009 |
| Cube | 389064962971027 |
| Square root | 270.190673 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3003 × |
73003 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and three |
| Binary (base 2) | 10001110100101011 |
| Octal (base 8) | 216453 |
| Hexadecimal (base 16) | 11D2B |
| Base 3 | 10201010211 |
| As time | 73003 seconds = 20 h 16 min 43 s |
Is 73003 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 | Yes (73003 ÷ 7 = 10429) | 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 4) | 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 73003 a prime number?
No. 73003 = 7 × 10429, so it is divisible by 7.
What are the factors of 73003?
1, 7, 10429, 73003.
What is 73003 in binary?
10001110100101011 (hexadecimal 11D2B, octal 216453).
What is the square root of 73003?
About 270.1907.
Is 73003 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 73003?
73003 is a semiprime: 7 × 10429, the product of two primes.