The number 10049
10049 is a composite number with 4 divisors. Its prime factorisation is 13 × 773. Divisors (4): 1, 13, 773, 10049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10049: a semiprime: 13 × 773, the product of two primes.
- 2
10049 is composite. Its prime factorisation is
- 3
The divisors add up to 10836; without 10049 itself that is 787, so 10049 is deficient (787 is less than 10049). Euler's totient φ(10049) = 9264 numbers up to 10049 share no factor with it.
- 4
The digits of 10049 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10049 = 13 \times 773 \]
10049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10836 |
| Euler totient φ(n) | 9264 |
| Square | 100982401 |
| Cube | 1014772147649 |
| Square root | 100.244701 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 1.0049 × |
10049 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and forty-nine |
| Binary (base 2) | 10011101000001 |
| Octal (base 8) | 23501 |
| Hexadecimal (base 16) | 2741 |
| Base 3 | 111210012 |
| As time | 10049 seconds = 2 h 47 min 29 s |
Is 10049 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10049 a prime number?
No. 10049 = 13 × 773, so it is divisible by 13.
What are the factors of 10049?
1, 13, 773, 10049.
What is 10049 in binary?
10011101000001 (hexadecimal 2741, octal 23501).
What is the square root of 10049?
About 100.2447.
Is 10049 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10049?
10049 is a semiprime: 13 × 773, the product of two primes.