The number 73999
73999 is the 7301st prime number. Its only divisors are 1 and 73999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73999: the 7301st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73999 is prime, so its only factors are 1 and 73999. It is the 7301st prime; the next prime is 74017 and the one before is 73973.
- 3
The divisors add up to 74000; without 73999 itself that is 1, so 73999 is deficient (1 is less than 73999). Euler's totient φ(73999) = 73998 numbers up to 73999 share no factor with it.
- 4
The digits of 73999 add up to 37, 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.
73999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74000 |
| Euler totient φ(n) | 73998 |
| Square | 5475852001 |
| Cube | 405207572221999 |
| Square root | 272.027572 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3999 × |
73999 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety-nine |
| Binary (base 2) | 10010000100001111 |
| Octal (base 8) | 220417 |
| Hexadecimal (base 16) | 1210F |
| Base 3 | 10202111201 |
| As time | 73999 seconds = 20 h 33 min 19 s |
Is 73999 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 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73999 a prime number?
Yes. 73999 is divisible only by 1 and itself.
What are the factors of 73999?
1, 73999.
What is 73999 in binary?
10010000100001111 (hexadecimal 1210F, octal 220417).
What is the square root of 73999?
About 272.0276.
Is 73999 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 73999?
73999 is the 7301st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.