The number 49006
49006 is a composite number with 8 divisors. Its prime factorisation is 2 × 107 × 229. Divisors (8): 1, 2, 107, 214, 229, 458, 24503, 49006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49006 is composite. Its prime factorisation is
- 3
The divisors add up to 74520; without 49006 itself that is 25514, so 49006 is deficient (25514 is less than 49006). Euler's totient φ(49006) = 24168 numbers up to 49006 share no factor with it.
- 4
The digits of 49006 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49006 = 2 \times 107 \times 229 \]
49006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 74520 |
| Euler totient φ(n) | 24168 |
| Square | 2401588036 |
| Cube | 117692223292216 |
| Square root | 221.372988 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9006 × |
49006 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and six |
| Binary (base 2) | 1011111101101110 |
| Octal (base 8) | 137556 |
| Hexadecimal (base 16) | BF6E |
| Base 3 | 2111020001 |
| As time | 49006 seconds = 13 h 36 min 46 s |
Is 49006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49006 ÷ 2 = 24503) | 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 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49006 a prime number?
No. 49006 = 2 × 107 × 229, so it is divisible by 2.
What are the factors of 49006?
1, 2, 107, 214, 229, 458, 24503, 49006.
What is 49006 in binary?
1011111101101110 (hexadecimal BF6E, octal 137556).
What is the square root of 49006?
About 221.3730.
Is 49006 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 49006?
49006 is a happy number: repeatedly adding the squares of its digits reaches 1.