The number 73009
73009 is the 7219th prime number. Its only divisors are 1 and 73009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73009: the 7219th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73009 is prime, so its only factors are 1 and 73009. It is the 7219th prime; the next prime is 73013 and the one before is 72997.
- 3
The divisors add up to 73010; without 73009 itself that is 1, so 73009 is deficient (1 is less than 73009). Euler's totient φ(73009) = 73008 numbers up to 73009 share no factor with it.
- 4
The digits of 73009 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 156 steps to reach 1.
73009 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73010 |
| Euler totient φ(n) | 73008 |
| Square | 5330314081 |
| Cube | 389160900739729 |
| Square root | 270.201776 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3009 × |
73009 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and nine |
| Binary (base 2) | 10001110100110001 |
| Octal (base 8) | 216461 |
| Hexadecimal (base 16) | 11D31 |
| Base 3 | 10201011001 |
| As time | 73009 seconds = 20 h 16 min 49 s |
Is 73009 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 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 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 2) | 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 73009 a prime number?
Yes. 73009 is divisible only by 1 and itself.
What are the factors of 73009?
1, 73009.
What is 73009 in binary?
10001110100110001 (hexadecimal 11D31, octal 216461).
What is the square root of 73009?
About 270.2018.
Is 73009 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73009?
73009 is the 7219th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.