The number 80102
80102 is a composite number with 12 divisors. Its prime factorisation is 2 × × 331. Divisors (12): 1, 2, 11, 22, 121, 242, 331, 662, 3641, 7282, 40051, 80102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80102: a Harshad number: divisible by its digit sum 11.
- 2
80102 is composite. Its prime factorisation is
- 3
The divisors add up to 132468; without 80102 itself that is 52366, so 80102 is deficient (52366 is less than 80102). Euler's totient φ(80102) = 36300 numbers up to 80102 share no factor with it.
- 4
The digits of 80102 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80102 = 2 \times 11^{2} \times 331 \]80102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132468 |
| Euler totient φ(n) | 36300 |
| Square | 6416330404 |
| Cube | 513960898021208 |
| Square root | 283.022967 (= 11√662) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0102 × |
80102 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and two |
| Binary (base 2) | 10011100011100110 |
| Octal (base 8) | 234346 |
| Hexadecimal (base 16) | 138E6 |
| Base 3 | 11001212202 |
| As time | 80102 seconds = 22 h 15 min 2 s |
Is 80102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80102 ÷ 2 = 40051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80102 ÷ 11 = 7282) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80102 a prime number?
No. 80102 = 2 × × 331, so it is divisible by 2.
What are the factors of 80102?
1, 2, 11, 22, 121, 242, 331, 662, 3641, 7282, 40051, 80102.
What is 80102 in binary?
10011100011100110 (hexadecimal 138E6, octal 234346).
What is the square root of 80102?
About 283.0230, exactly 11√662.
Is 80102 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 80102?
80102 is a Harshad number: divisible by its digit sum 11.