The number 80080
80080 is a composite number with 80 divisors. Its prime factorisation is × 5 × 7 × 11 × 13. Divisors (80): 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 20, 22, 26, 28, 35 … 80080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80080: a Harshad number: divisible by its digit sum 16.
- 2
80080 is composite. Its prime factorisation is
- 3
The divisors add up to 249984; without 80080 itself that is 169904, so 80080 is abundant (169904 is more than 80080). Euler's totient φ(80080) = 23040 numbers up to 80080 share no factor with it.
- 4
The digits of 80080 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80080 = 2^{4} \times 5 \times 7 \times 11 \times 13 \]80080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 249984 |
| Euler totient φ(n) | 23040 |
| Square | 6412806400 |
| Cube | 513537536512000 |
| Square root | 282.984098 (= 4√5005) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.008 × |
80080 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and eighty |
| Binary (base 2) | 10011100011010000 |
| Octal (base 8) | 234320 |
| Hexadecimal (base 16) | 138D0 |
| Base 3 | 11001211221 |
| As time | 80080 seconds = 22 h 14 min 40 s |
Is 80080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80080 ÷ 2 = 40040) | 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 | Yes (80080 ÷ 4 = 20020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80080 ÷ 5 = 16016) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80080 ÷ 7 = 11440) | 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 | Yes (80080 ÷ 8 = 10010) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80080 ÷ 10 = 8008) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80080 ÷ 11 = 7280) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80080 a prime number?
No. 80080 = × 5 × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 80080?
1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 80, 88, 91, 104, 110, 112, 130, 140, 143, 154, 176, 182, 208, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 560, 572, 616, 715, 728, 770, 880, 910, 1001, 1040, 1144, 1232, 1430, 1456, 1540, 1820, 2002, 2288, 2860, 3080, 3640, 4004, 5005, 5720, 6160, 7280, 8008, 10010, 11440, 16016, 20020, 40040, 80080.
What is 80080 in binary?
10011100011010000 (hexadecimal 138D0, octal 234320).
What is the square root of 80080?
About 282.9841, exactly 4√5005.
Is 80080 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80080?
80080 is a Harshad number: divisible by its digit sum 16.