The number 73849
73849 is a twin prime (73847 and 73849 are both prime) and the 7289th prime number. Its only divisors are 1 and 73849.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73849: a twin prime (73847 and 73849 are both prime); the 7289th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73849 is prime, so its only factors are 1 and 73849. It is the 7289th prime; the next prime is 73859 and the one before is 73847.
- 3
The divisors add up to 73850; without 73849 itself that is 1, so 73849 is deficient (1 is less than 73849). Euler's totient φ(73849) = 73848 numbers up to 73849 share no factor with it.
- 4
The digits of 73849 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 231 steps to reach 1.
73849 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73850 |
| Euler totient φ(n) | 73848 |
| Square | 5453674801 |
| Cube | 402748430379049 |
| Square root | 271.751725 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.3849 × |
73849 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and forty-nine |
| Binary (base 2) | 10010000001111001 |
| Octal (base 8) | 220171 |
| Hexadecimal (base 16) | 12079 |
| Base 3 | 10202022011 |
| As time | 73849 seconds = 20 h 30 min 49 s |
Is 73849 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 4) | 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 6) | 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 73849 a prime number?
Yes. 73849 is divisible only by 1 and itself.
What are the factors of 73849?
1, 73849.
What is 73849 in binary?
10010000001111001 (hexadecimal 12079, octal 220171).
What is the square root of 73849?
About 271.7517.
Is 73849 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 73849?
73849 is a twin prime (73847 and 73849 are both prime); the 7289th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.