The number 35023
35023 is the 3733rd prime number. Its only divisors are 1 and 35023.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35023: the 3733rd prime number.
- 2
35023 is prime, so its only factors are 1 and 35023. It is the 3733rd prime; the next prime is 35027 and the one before is 34981.
- 3
The divisors add up to 35024; without 35023 itself that is 1, so 35023 is deficient (1 is less than 35023). Euler's totient φ(35023) = 35022 numbers up to 35023 share no factor with it.
- 4
The digits of 35023 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
35023 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35024 |
| Euler totient φ(n) | 35022 |
| Square | 1226610529 |
| Cube | 42959580557167 |
| Square root | 187.144329 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.5023 × |
35023 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and twenty-three |
| Binary (base 2) | 1000100011001111 |
| Octal (base 8) | 104317 |
| Hexadecimal (base 16) | 88CF |
| Base 3 | 1210001011 |
| As time | 35023 seconds = 9 h 43 min 43 s |
Is 35023 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 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 4) | 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 10) | 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 35023 a prime number?
Yes. 35023 is divisible only by 1 and itself.
What are the factors of 35023?
1, 35023.
What is 35023 in binary?
1000100011001111 (hexadecimal 88CF, octal 104317).
What is the square root of 35023?
About 187.1443.
Is 35023 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 35023?
35023 is the 3733rd prime number.