The number 10010
10010 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 7 × 11 × 13. Divisors (32): 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91 … 10010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10010: a Harshad number: divisible by its digit sum 2.
- 2
10010 is composite. Its prime factorisation is
- 3
The divisors add up to 24192; without 10010 itself that is 14182, so 10010 is abundant (14182 is more than 10010). Euler's totient φ(10010) = 2880 numbers up to 10010 share no factor with it.
- 4
The digits of 10010 add up to 2, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10010 = 2 \times 5 \times 7 \times 11 \times 13 \]
10010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 24192 |
| Euler totient φ(n) | 2880 |
| Square | 100200100 |
| Cube | 1003003001000 |
| Square root | 100.049988 |
| Digit sum / digital root | 2 / 2 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.001 × |
10010 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and ten |
| Binary (base 2) | 10011100011010 |
| Octal (base 8) | 23432 |
| Hexadecimal (base 16) | 271A |
| Base 3 | 111201202 |
| As time | 10010 seconds = 2 h 46 min 50 s |
Is 10010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10010 ÷ 2 = 5005) | 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 | Yes (10010 ÷ 5 = 2002) | 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 | Yes (10010 ÷ 7 = 1430) | 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 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10010 ÷ 10 = 1001) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10010 ÷ 11 = 910) | 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 10010 a prime number?
No. 10010 = 2 × 5 × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 10010?
1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010.
What is 10010 in binary?
10011100011010 (hexadecimal 271A, octal 23432).
What is the square root of 10010?
About 100.0500.
Is 10010 divisible by 3?
No. Its digits add up to 2, which is not a multiple of 3.
What is special about the number 10010?
10010 is a Harshad number: divisible by its digit sum 2.