The number 80013
80013 is a composite number with 8 divisors. Its prime factorisation is 3 × 149 × 179. Divisors (8): 1, 3, 149, 179, 447, 537, 26671, 80013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80013 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 80013 itself that is 27987, so 80013 is deficient (27987 is less than 80013). Euler's totient φ(80013) = 52688 numbers up to 80013 share no factor with it.
- 4
The digits of 80013 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80013 = 3 \times 149 \times 179 \]
80013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 52688 |
| Square | 6402080169 |
| Cube | 512249640562197 |
| Square root | 282.865693 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0013 × |
80013 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and thirteen |
| Binary (base 2) | 10011100010001101 |
| Octal (base 8) | 234215 |
| Hexadecimal (base 16) | 1388D |
| Base 3 | 11001202110 |
| As time | 80013 seconds = 22 h 13 min 33 s |
Is 80013 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 (80013 ÷ 3 = 26671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80013 a prime number?
No. 80013 = 3 × 149 × 179, so it is divisible by 3.
What are the factors of 80013?
1, 3, 149, 179, 447, 537, 26671, 80013.
What is 80013 in binary?
10011100010001101 (hexadecimal 1388D, octal 234215).
What is the square root of 80013?
About 282.8657.
Is 80013 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80013?
It is a composite number with 8 divisors.