The number 5009
5009 is a twin prime (5009 and 5011 are both prime) and the 671st prime number. Its only divisors are 1 and 5009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5009: a twin prime (5009 and 5011 are both prime); the 671st prime number.
- 2
5009 is prime, so its only factors are 1 and 5009. It is the 671st prime; the next prime is 5011 and the one before is 5003.
- 3
The divisors add up to 5010; without 5009 itself that is 1, so 5009 is deficient (1 is less than 5009). Euler's totient φ(5009) = 5008 numbers up to 5009 share no factor with it.
- 4
The digits of 5009 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 90 steps to reach 1.
5009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5010 |
| Euler totient φ(n) | 5008 |
| Square | 25090081 |
| Cube | 125676215729 |
| Square root | 70.774289 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.009 × |
5009 in other forms
| Form | Value |
|---|---|
| In words | five thousand and nine |
| Binary (base 2) | 1001110010001 |
| Octal (base 8) | 11621 |
| Hexadecimal (base 16) | 1391 |
| Base 3 | 20212112 |
| As time | 5009 seconds = 1 h 23 min 29 s |
Is 5009 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 4) | 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 5009 a prime number?
Yes. 5009 is divisible only by 1 and itself.
What are the factors of 5009?
1, 5009.
What is 5009 in binary?
1001110010001 (hexadecimal 1391, octal 11621).
What is the square root of 5009?
About 70.7743.
Is 5009 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5009?
5009 is a twin prime (5009 and 5011 are both prime); the 671st prime number.