The number 80036
80036 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 107. Divisors (24): 1, 2, 4, 11, 17, 22, 34, 44, 68, 107, 187, 214, 374, 428, 748, 1177 … 80036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80036: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
80036 is composite. Its prime factorisation is
- 3
The divisors add up to 163296; without 80036 itself that is 83260, so 80036 is abundant (83260 is more than 80036). Euler's totient φ(80036) = 33920 numbers up to 80036 share no factor with it.
- 4
The digits of 80036 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80036 = 2^{2} \times 11 \times 17 \times 107 \]80036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 163296 |
| Euler totient φ(n) | 33920 |
| Square | 6405761296 |
| Cube | 512691511086656 |
| Square root | 282.906345 (= 2√20009) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0036 × |
80036 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and thirty-six |
| Binary (base 2) | 10011100010100100 |
| Octal (base 8) | 234244 |
| Hexadecimal (base 16) | 138A4 |
| Base 3 | 11001210022 |
| As time | 80036 seconds = 22 h 13 min 56 s |
Is 80036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80036 ÷ 2 = 40018) | 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 (80036 ÷ 4 = 20009) | 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 5) | 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 | Yes (80036 ÷ 11 = 7276) | 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 80036 a prime number?
No. 80036 = × 11 × 17 × 107, so it is divisible by 2.
What are the factors of 80036?
1, 2, 4, 11, 17, 22, 34, 44, 68, 107, 187, 214, 374, 428, 748, 1177, 1819, 2354, 3638, 4708, 7276, 20009, 40018, 80036.
What is 80036 in binary?
10011100010100100 (hexadecimal 138A4, octal 234244).
What is the square root of 80036?
About 282.9063, exactly 2√20009.
Is 80036 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80036?
80036 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.