The number 10075
10075 is a composite number with 12 divisors. Its prime factorisation is × 13 × 31. Divisors (12): 1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015, 10075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10075: a Harshad number: divisible by its digit sum 13.
- 2
10075 is composite. Its prime factorisation is
- 3
The divisors add up to 13888; without 10075 itself that is 3813, so 10075 is deficient (3813 is less than 10075). Euler's totient φ(10075) = 7200 numbers up to 10075 share no factor with it.
- 4
The digits of 10075 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10075 = 5^{2} \times 13 \times 31 \]10075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13888 |
| Euler totient φ(n) | 7200 |
| Square | 101505625 |
| Cube | 1022669171875 |
| Square root | 100.374299 (= 5√403) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0075 × |
10075 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and seventy-five |
| Binary (base 2) | 10011101011011 |
| Octal (base 8) | 23533 |
| Hexadecimal (base 16) | 275B |
| Base 3 | 111211011 |
| As time | 10075 seconds = 2 h 47 min 55 s |
Is 10075 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10075 ÷ 5 = 2015) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10075 a prime number?
No. 10075 = × 13 × 31, so it is divisible by 5.
What are the factors of 10075?
1, 5, 13, 25, 31, 65, 155, 325, 403, 775, 2015, 10075.
What is 10075 in binary?
10011101011011 (hexadecimal 275B, octal 23533).
What is the square root of 10075?
About 100.3743, exactly 5√403.
Is 10075 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10075?
10075 is a Harshad number: divisible by its digit sum 13.