The number 10026
10026 is a composite number with 12 divisors. Its prime factorisation is 2 × × 557. Divisors (12): 1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10026: a Harshad number: divisible by its digit sum 9.
- 2
10026 is composite. Its prime factorisation is
- 3
The divisors add up to 21762; without 10026 itself that is 11736, so 10026 is abundant (11736 is more than 10026). Euler's totient φ(10026) = 3336 numbers up to 10026 share no factor with it.
- 4
The digits of 10026 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10026 = 2 \times 3^{2} \times 557 \]10026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21762 |
| Euler totient φ(n) | 3336 |
| Square | 100520676 |
| Cube | 1007820297576 |
| Square root | 100.129916 (= 3√1114) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0026 × |
10026 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-six |
| Binary (base 2) | 10011100101010 |
| Octal (base 8) | 23452 |
| Hexadecimal (base 16) | 272A |
| Base 3 | 111202100 |
| As time | 10026 seconds = 2 h 47 min 6 s |
Is 10026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10026 ÷ 2 = 5013) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10026 ÷ 3 = 3342) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10026 ÷ 6 = 1671) | 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 (10026 ÷ 9 = 1114) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 10026 a prime number?
No. 10026 = 2 × × 557, so it is divisible by 2.
What are the factors of 10026?
1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026.
What is 10026 in binary?
10011100101010 (hexadecimal 272A, octal 23452).
What is the square root of 10026?
About 100.1299, exactly 3√1114.
Is 10026 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 10026?
10026 is a Harshad number: divisible by its digit sum 9.