The number 78003
78003 is a composite number with 14 divisors. Its prime factorisation is × 107. Divisors (14): 1, 3, 9, 27, 81, 107, 243, 321, 729, 963, 2889, 8667, 26001, 78003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
78003 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78003 is composite. Its prime factorisation is
- 3
The divisors add up to 118044; without 78003 itself that is 40041, so 78003 is deficient (40041 is less than 78003). Euler's totient φ(78003) = 51516 numbers up to 78003 share no factor with it.
- 4
The digits of 78003 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78003 = 3^{6} \times 107 \]78003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 118044 |
| Euler totient φ(n) | 51516 |
| Square | 6084468009 |
| Cube | 474606758106027 |
| Square root | 279.290172 (= 27√107) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.8003 × |
78003 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and three |
| Binary (base 2) | 10011000010110011 |
| Octal (base 8) | 230263 |
| Hexadecimal (base 16) | 130B3 |
| Base 3 | 10222000000 |
| As time | 78003 seconds = 21 h 40 min 3 s |
Is 78003 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 (78003 ÷ 3 = 26001) | 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 2) | 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 | Yes (78003 ÷ 9 = 8667) | 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 2) | 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 78003 a prime number?
No. 78003 = × 107, so it is divisible by 3.
What are the factors of 78003?
1, 3, 9, 27, 81, 107, 243, 321, 729, 963, 2889, 8667, 26001, 78003.
What is 78003 in binary?
10011000010110011 (hexadecimal 130B3, octal 230263).
What is the square root of 78003?
About 279.2902, exactly 27√107.
Is 78003 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 78003?
It is a composite number with 14 divisors.