The number 73709
73709 is the 7279th prime number. Its only divisors are 1 and 73709.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73709: the 7279th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73709 is prime, so its only factors are 1 and 73709. It is the 7279th prime; the next prime is 73721 and the one before is 73699.
- 3
The divisors add up to 73710; without 73709 itself that is 1, so 73709 is deficient (1 is less than 73709). Euler's totient φ(73709) = 73708 numbers up to 73709 share no factor with it.
- 4
The digits of 73709 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
73709 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73710 |
| Euler totient φ(n) | 73708 |
| Square | 5433016681 |
| Cube | 400462226539829 |
| Square root | 271.494015 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.3709 × |
73709 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and nine |
| Binary (base 2) | 10001111111101101 |
| Octal (base 8) | 217755 |
| Hexadecimal (base 16) | 11FED |
| Base 3 | 10202002222 |
| As time | 73709 seconds = 20 h 28 min 29 s |
Is 73709 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 9) | 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 73709 a prime number?
Yes. 73709 is divisible only by 1 and itself.
What are the factors of 73709?
1, 73709.
What is 73709 in binary?
10001111111101101 (hexadecimal 11FED, octal 217755).
What is the square root of 73709?
About 271.4940.
Is 73709 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 73709?
73709 is the 7279th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.