The number 10027
10027 is a composite number with 4 divisors. Its prime factorisation is 37 × 271. Divisors (4): 1, 37, 271, 10027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10027: a semiprime: 37 × 271, the product of two primes.
- 2
10027 is composite. Its prime factorisation is
- 3
The divisors add up to 10336; without 10027 itself that is 309, so 10027 is deficient (309 is less than 10027). Euler's totient φ(10027) = 9720 numbers up to 10027 share no factor with it.
- 4
The digits of 10027 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10027 = 37 \times 271 \]
10027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10336 |
| Euler totient φ(n) | 9720 |
| Square | 100540729 |
| Cube | 1008121889683 |
| Square root | 100.134909 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 1.0027 × |
10027 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and twenty-seven |
| Binary (base 2) | 10011100101011 |
| Octal (base 8) | 23453 |
| Hexadecimal (base 16) | 272B |
| Base 3 | 111202101 |
| As time | 10027 seconds = 2 h 47 min 7 s |
Is 10027 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 | No (remainder 2) | 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 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 3) | 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 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 10027 a prime number?
No. 10027 = 37 × 271, so it is divisible by 37.
What are the factors of 10027?
1, 37, 271, 10027.
What is 10027 in binary?
10011100101011 (hexadecimal 272B, octal 23453).
What is the square root of 10027?
About 100.1349.
Is 10027 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10027?
10027 is a semiprime: 37 × 271, the product of two primes.