The number 80047
80047 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 383. Divisors (8): 1, 11, 19, 209, 383, 4213, 7277, 80047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80047: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
80047 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 80047 itself that is 12113, so 80047 is deficient (12113 is less than 80047). Euler's totient φ(80047) = 68760 numbers up to 80047 share no factor with it.
- 4
The digits of 80047 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80047 = 11 \times 19 \times 383 \]
80047 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 68760 |
| Square | 6407522209 |
| Cube | 512902930263823 |
| Square root | 282.925785 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 200 |
| Scientific notation | 8.0047 × |
80047 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and forty-seven |
| Binary (base 2) | 10011100010101111 |
| Octal (base 8) | 234257 |
| Hexadecimal (base 16) | 138AF |
| Base 3 | 11001210201 |
| As time | 80047 seconds = 22 h 14 min 7 s |
Is 80047 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80047 ÷ 11 = 7277) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80047 a prime number?
No. 80047 = 11 × 19 × 383, so it is divisible by 11.
What are the factors of 80047?
1, 11, 19, 209, 383, 4213, 7277, 80047.
What is 80047 in binary?
10011100010101111 (hexadecimal 138AF, octal 234257).
What is the square root of 80047?
About 282.9258.
Is 80047 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80047?
80047 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.