The number 80396
80396 is a composite number with 12 divisors. Its prime factorisation is × 101 × 199. Divisors (12): 1, 2, 4, 101, 199, 202, 398, 404, 796, 20099, 40198, 80396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80396: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80396 is composite. Its prime factorisation is
- 3
The divisors add up to 142800; without 80396 itself that is 62404, so 80396 is deficient (62404 is less than 80396). Euler's totient φ(80396) = 39600 numbers up to 80396 share no factor with it.
- 4
The digits of 80396 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80396 = 2^{2} \times 101 \times 199 \]80396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142800 |
| Euler totient φ(n) | 39600 |
| Square | 6463516816 |
| Cube | 519640897939136 |
| Square root | 283.541884 (= 2√20099) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0396 × |
80396 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and ninety-six |
| Binary (base 2) | 10011101000001100 |
| Octal (base 8) | 235014 |
| Hexadecimal (base 16) | 13A0C |
| Base 3 | 11002021122 |
| As time | 80396 seconds = 22 h 19 min 56 s |
Is 80396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80396 ÷ 2 = 40198) | 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 | Yes (80396 ÷ 4 = 20099) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80396 a prime number?
No. 80396 = × 101 × 199, so it is divisible by 2.
What are the factors of 80396?
1, 2, 4, 101, 199, 202, 398, 404, 796, 20099, 40198, 80396.
What is 80396 in binary?
10011101000001100 (hexadecimal 13A0C, octal 235014).
What is the square root of 80396?
About 283.5419, exactly 2√20099.
Is 80396 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 80396?
80396 is a happy number: repeatedly adding the squares of its digits reaches 1.