The number 80004
80004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 113. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 113, 118, 177, 226, 236, 339, 354, 452, 678 … 80004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80004: a Harshad number: divisible by its digit sum 12.
- 2
80004 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 80004 itself that is 111516, so 80004 is abundant (111516 is more than 80004). Euler's totient φ(80004) = 25984 numbers up to 80004 share no factor with it.
- 4
The digits of 80004 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80004 = 2^{2} \times 3 \times 59 \times 113 \]80004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 25984 |
| Square | 6400640016 |
| Cube | 512076803840064 |
| Square root | 282.849783 (= 2√20001) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0004 × |
80004 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and four |
| Binary (base 2) | 10011100010000100 |
| Octal (base 8) | 234204 |
| Hexadecimal (base 16) | 13884 |
| Base 3 | 11001202010 |
| As time | 80004 seconds = 22 h 13 min 24 s |
Is 80004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80004 ÷ 2 = 40002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80004 ÷ 3 = 26668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80004 ÷ 4 = 20001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80004 ÷ 6 = 13334) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80004 ÷ 12 = 6667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80004 a prime number?
No. 80004 = × 3 × 59 × 113, so it is divisible by 2.
What are the factors of 80004?
1, 2, 3, 4, 6, 12, 59, 113, 118, 177, 226, 236, 339, 354, 452, 678, 708, 1356, 6667, 13334, 20001, 26668, 40002, 80004.
What is 80004 in binary?
10011100010000100 (hexadecimal 13884, octal 234204).
What is the square root of 80004?
About 282.8498, exactly 2√20001.
Is 80004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80004?
80004 is a Harshad number: divisible by its digit sum 12.