The number 72003
72003 is a composite number with 4 divisors. Its prime factorisation is 3 × 24001. Divisors (4): 1, 3, 24001, 72003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72003: a semiprime: 3 × 24001, the product of two primes.
- 2
72003 is composite. Its prime factorisation is
- 3
The divisors add up to 96008; without 72003 itself that is 24005, so 72003 is deficient (24005 is less than 72003). Euler's totient φ(72003) = 48000 numbers up to 72003 share no factor with it.
- 4
The digits of 72003 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72003 = 3 \times 24001 \]
72003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 96008 |
| Euler totient φ(n) | 48000 |
| Square | 5184432009 |
| Cube | 373294657944027 |
| Square root | 268.333747 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.2003 × |
72003 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and three |
| Binary (base 2) | 10001100101000011 |
| Octal (base 8) | 214503 |
| Hexadecimal (base 16) | 11943 |
| Base 3 | 10122202210 |
| As time | 72003 seconds = 20 h 0 min 3 s |
Is 72003 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 | Yes (72003 ÷ 3 = 24001) | 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 3) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72003 a prime number?
No. 72003 = 3 × 24001, so it is divisible by 3.
What are the factors of 72003?
1, 3, 24001, 72003.
What is 72003 in binary?
10001100101000011 (hexadecimal 11943, octal 214503).
What is the square root of 72003?
About 268.3337.
Is 72003 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 72003?
72003 is a semiprime: 3 × 24001, the product of two primes.