The number 42049
42049 is a composite number with 4 divisors. Its prime factorisation is 7 × 6007. Divisors (4): 1, 7, 6007, 42049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42049: a semiprime: 7 × 6007, the product of two primes.
- 2
42049 is composite. Its prime factorisation is
- 3
The divisors add up to 48064; without 42049 itself that is 6015, so 42049 is deficient (6015 is less than 42049). Euler's totient φ(42049) = 36036 numbers up to 42049 share no factor with it.
- 4
The digits of 42049 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42049 = 7 \times 6007 \]
42049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48064 |
| Euler totient φ(n) | 36036 |
| Square | 1768118401 |
| Cube | 74347610643649 |
| Square root | 205.058528 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2049 × |
42049 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and forty-nine |
| Binary (base 2) | 1010010001000001 |
| Octal (base 8) | 122101 |
| Hexadecimal (base 16) | A441 |
| Base 3 | 2010200101 |
| As time | 42049 seconds = 11 h 40 min 49 s |
Is 42049 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42049 ÷ 7 = 6007) | 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 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42049 a prime number?
No. 42049 = 7 × 6007, so it is divisible by 7.
What are the factors of 42049?
1, 7, 6007, 42049.
What is 42049 in binary?
1010010001000001 (hexadecimal A441, octal 122101).
What is the square root of 42049?
About 205.0585.
Is 42049 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42049?
42049 is a semiprime: 7 × 6007, the product of two primes.