The number 49003
49003 is the 5036th prime number. Its only divisors are 1 and 49003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49003: the 5036th prime number.
- 2
49003 is prime, so its only factors are 1 and 49003. It is the 5036th prime; the next prime is 49009 and the one before is 48991.
- 3
The divisors add up to 49004; without 49003 itself that is 1, so 49003 is deficient (1 is less than 49003). Euler's totient φ(49003) = 49002 numbers up to 49003 share no factor with it.
- 4
The digits of 49003 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
49003 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49004 |
| Euler totient φ(n) | 49002 |
| Square | 2401294009 |
| Cube | 117670610323027 |
| Square root | 221.366212 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9003 × |
49003 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and three |
| Binary (base 2) | 1011111101101011 |
| Octal (base 8) | 137553 |
| Hexadecimal (base 16) | BF6B |
| Base 3 | 2111012221 |
| As time | 49003 seconds = 13 h 36 min 43 s |
Is 49003 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49003 a prime number?
Yes. 49003 is divisible only by 1 and itself.
What are the factors of 49003?
1, 49003.
What is 49003 in binary?
1011111101101011 (hexadecimal BF6B, octal 137553).
What is the square root of 49003?
About 221.3662.
Is 49003 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 49003?
49003 is the 5036th prime number.