The number 10090
10090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 1009. Divisors (8): 1, 2, 5, 10, 1009, 2018, 5045, 10090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10090: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
10090 is composite. Its prime factorisation is
- 3
The divisors add up to 18180; without 10090 itself that is 8090, so 10090 is deficient (8090 is less than 10090). Euler's totient φ(10090) = 4032 numbers up to 10090 share no factor with it.
- 4
The digits of 10090 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10090 = 2 \times 5 \times 1009 \]
10090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18180 |
| Euler totient φ(n) | 4032 |
| Square | 101808100 |
| Cube | 1027243729000 |
| Square root | 100.448992 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.009 × |
10090 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and ninety |
| Binary (base 2) | 10011101101010 |
| Octal (base 8) | 23552 |
| Hexadecimal (base 16) | 276A |
| Base 3 | 111211201 |
| As time | 10090 seconds = 2 h 48 min 10 s |
Is 10090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10090 ÷ 2 = 5045) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10090 ÷ 5 = 2018) | 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 | No (remainder 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (10090 ÷ 10 = 1009) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10090 a prime number?
No. 10090 = 2 × 5 × 1009, so it is divisible by 2.
What are the factors of 10090?
1, 2, 5, 10, 1009, 2018, 5045, 10090.
What is 10090 in binary?
10011101101010 (hexadecimal 276A, octal 23552).
What is the square root of 10090?
About 100.4490.
Is 10090 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10090?
10090 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.