The number 33301
33301 is the 3565th prime number. Its only divisors are 1 and 33301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33301: the 3565th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33301 is prime, so its only factors are 1 and 33301. It is the 3565th prime; the next prime is 33311 and the one before is 33289.
- 3
The divisors add up to 33302; without 33301 itself that is 1, so 33301 is deficient (1 is less than 33301). Euler's totient φ(33301) = 33300 numbers up to 33301 share no factor with it.
- 4
The digits of 33301 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
33301 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33302 |
| Euler totient φ(n) | 33300 |
| Square | 1108956601 |
| Cube | 36929363769901 |
| Square root | 182.485616 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3301 × |
33301 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and one |
| Binary (base 2) | 1000001000010101 |
| Octal (base 8) | 101025 |
| Hexadecimal (base 16) | 8215 |
| Base 3 | 1200200101 |
| As time | 33301 seconds = 9 h 15 min 1 s |
Is 33301 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 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 33301 a prime number?
Yes. 33301 is divisible only by 1 and itself.
What are the factors of 33301?
1, 33301.
What is 33301 in binary?
1000001000010101 (hexadecimal 8215, octal 101025).
What is the square root of 33301?
About 182.4856.
Is 33301 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33301?
33301 is the 3565th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.