The number 84003
84003 is a composite number with 4 divisors. Its prime factorisation is 3 × 28001. Divisors (4): 1, 3, 28001, 84003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84003: a semiprime: 3 × 28001, the product of two primes.
- 2
84003 is composite. Its prime factorisation is
- 3
The divisors add up to 112008; without 84003 itself that is 28005, so 84003 is deficient (28005 is less than 84003). Euler's totient φ(84003) = 56000 numbers up to 84003 share no factor with it.
- 4
The digits of 84003 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84003 = 3 \times 28001 \]
84003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 112008 |
| Euler totient φ(n) | 56000 |
| Square | 7056504009 |
| Cube | 592767506268027 |
| Square root | 289.832710 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4003 × |
84003 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and three |
| Binary (base 2) | 10100100000100011 |
| Octal (base 8) | 244043 |
| Hexadecimal (base 16) | 14823 |
| Base 3 | 11021020020 |
| As time | 84003 seconds = 23 h 20 min 3 s |
Is 84003 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 (84003 ÷ 3 = 28001) | 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 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 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84003 a prime number?
No. 84003 = 3 × 28001, so it is divisible by 3.
What are the factors of 84003?
1, 3, 28001, 84003.
What is 84003 in binary?
10100100000100011 (hexadecimal 14823, octal 244043).
What is the square root of 84003?
About 289.8327.
Is 84003 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 84003?
84003 is a semiprime: 3 × 28001, the product of two primes.