The number 70009
70009 is the 6938th prime number. Its only divisors are 1 and 70009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 70009: the 6938th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
70009 is prime, so its only factors are 1 and 70009. It is the 6938th prime; the next prime is 70019 and the one before is 70003.
- 3
The divisors add up to 70010; without 70009 itself that is 1, so 70009 is deficient (1 is less than 70009). Euler's totient φ(70009) = 70008 numbers up to 70009 share no factor with it.
- 4
The digits of 70009 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 280 steps to reach 1.
70009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 70010 |
| Euler totient φ(n) | 70008 |
| Square | 4901260081 |
| Cube | 343132317010729 |
| Square root | 264.592139 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 280 |
| Scientific notation | 7.0009 × |
70009 in other forms
| Form | Value |
|---|---|
| In words | seventy thousand and nine |
| Binary (base 2) | 10001000101111001 |
| Octal (base 8) | 210571 |
| Hexadecimal (base 16) | 11179 |
| Base 3 | 10120000221 |
| As time | 70009 seconds = 19 h 26 min 49 s |
Is 70009 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 | No (remainder 2) | 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 7) | 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 5) | 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 70009 a prime number?
Yes. 70009 is divisible only by 1 and itself.
What are the factors of 70009?
1, 70009.
What is 70009 in binary?
10001000101111001 (hexadecimal 11179, octal 210571).
What is the square root of 70009?
About 264.5921.
Is 70009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 70009?
70009 is the 6938th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.