The number 83023
83023 is the 8109th prime number. Its only divisors are 1 and 83023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83023: the 8109th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
83023 is prime, so its only factors are 1 and 83023. It is the 8109th prime; the next prime is 83047 and the one before is 83009.
- 3
The divisors add up to 83024; without 83023 itself that is 1, so 83023 is deficient (1 is less than 83023). Euler's totient φ(83023) = 83022 numbers up to 83023 share no factor with it.
- 4
The digits of 83023 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 89 steps to reach 1.
83023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83024 |
| Euler totient φ(n) | 83022 |
| Square | 6892818529 |
| Cube | 572262472733167 |
| Square root | 288.137120 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3023 × |
83023 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and twenty-three |
| Binary (base 2) | 10100010001001111 |
| Octal (base 8) | 242117 |
| Hexadecimal (base 16) | 1444F |
| Base 3 | 11012212221 |
| As time | 83023 seconds = 23 h 3 min 43 s |
Is 83023 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 3) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83023 a prime number?
Yes. 83023 is divisible only by 1 and itself.
What are the factors of 83023?
1, 83023.
What is 83023 in binary?
10100010001001111 (hexadecimal 1444F, octal 242117).
What is the square root of 83023?
About 288.1371.
Is 83023 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83023?
83023 is the 8109th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.