The number 33479
33479 is the 3584th prime number. Its only divisors are 1 and 33479.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33479: the 3584th prime number.
- 2
33479 is prime, so its only factors are 1 and 33479. It is the 3584th prime; the next prime is 33487 and the one before is 33469.
- 3
The divisors add up to 33480; without 33479 itself that is 1, so 33479 is deficient (1 is less than 33479). Euler's totient φ(33479) = 33478 numbers up to 33479 share no factor with it.
- 4
The digits of 33479 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
33479 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33480 |
| Euler totient φ(n) | 33478 |
| Square | 1120843441 |
| Cube | 37524717561239 |
| Square root | 182.972676 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3479 × |
33479 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and seventy-nine |
| Binary (base 2) | 1000001011000111 |
| Octal (base 8) | 101307 |
| Hexadecimal (base 16) | 82C7 |
| Base 3 | 1200220222 |
| As time | 33479 seconds = 9 h 17 min 59 s |
Is 33479 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33479 a prime number?
Yes. 33479 is divisible only by 1 and itself.
What are the factors of 33479?
1, 33479.
What is 33479 in binary?
1000001011000111 (hexadecimal 82C7, octal 101307).
What is the square root of 33479?
About 182.9727.
Is 33479 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33479?
33479 is the 3584th prime number.