The number 8010
8010 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 89. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445 … 8010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8010: a Harshad number: divisible by its digit sum 9.
- 2
8010 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 8010 itself that is 13050, so 8010 is abundant (13050 is more than 8010). Euler's totient φ(8010) = 2112 numbers up to 8010 share no factor with it.
- 4
The digits of 8010 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8010 = 2 \times 3^{2} \times 5 \times 89 \]8010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 2112 |
| Square | 64160100 |
| Cube | 513922401000 |
| Square root | 89.498603 (= 3√890) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 8.01 × |
8010 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and ten |
| Binary (base 2) | 1111101001010 |
| Octal (base 8) | 17512 |
| Hexadecimal (base 16) | 1F4A |
| Base 3 | 101222200 |
| As time | 8010 seconds = 2 h 13 min 30 s |
Is 8010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8010 ÷ 2 = 4005) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8010 ÷ 3 = 2670) | 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 | Yes (8010 ÷ 5 = 1602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8010 ÷ 6 = 1335) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8010 ÷ 9 = 890) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8010 ÷ 10 = 801) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8010 a prime number?
No. 8010 = 2 × × 5 × 89, so it is divisible by 2.
What are the factors of 8010?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010.
What is 8010 in binary?
1111101001010 (hexadecimal 1F4A, octal 17512).
What is the square root of 8010?
About 89.4986, exactly 3√890.
Is 8010 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 8010?
8010 is a Harshad number: divisible by its digit sum 9.