The number 35053
35053 is a palindromic prime: it reads the same backwards and is prime, a twin prime (35051 and 35053 are both prime) and the 3736th prime number. Its only divisors are 1 and 35053.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35053: a palindromic prime: it reads the same backwards and is prime; a twin prime (35051 and 35053 are both prime); the 3736th prime number; a palindrome: it reads 35053 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
35053 is prime, so its only factors are 1 and 35053. It is the 3736th prime; the next prime is 35059 and the one before is 35051.
- 3
The divisors add up to 35054; without 35053 itself that is 1, so 35053 is deficient (1 is less than 35053). Euler's totient φ(35053) = 35052 numbers up to 35053 share no factor with it.
- 4
The digits of 35053 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 49 steps to reach 1.
35053 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 35054 |
| Euler totient φ(n) | 35052 |
| Square | 1228712809 |
| Cube | 43070070093877 |
| Square root | 187.224464 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5053 × |
35053 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and fifty-three |
| Binary (base 2) | 1000100011101101 |
| Octal (base 8) | 104355 |
| Hexadecimal (base 16) | 88ED |
| Base 3 | 1210002021 |
| As time | 35053 seconds = 9 h 44 min 13 s |
Is 35053 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 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 4) | 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 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 7) | 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 35053 a prime number?
Yes. 35053 is divisible only by 1 and itself.
What are the factors of 35053?
1, 35053.
What is 35053 in binary?
1000100011101101 (hexadecimal 88ED, octal 104355).
What is the square root of 35053?
About 187.2245.
Is 35053 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 35053?
35053 is a palindromic prime: it reads the same backwards and is prime; a twin prime (35051 and 35053 are both prime); the 3736th prime number; a palindrome: it reads 35053 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.