The number 33667
33667 is a composite number with 4 divisors. Its prime factorisation is 131 × 257. Divisors (4): 1, 131, 257, 33667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33667: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 257, the product of two primes.
- 2
33667 is composite. Its prime factorisation is
- 3
The divisors add up to 34056; without 33667 itself that is 389, so 33667 is deficient (389 is less than 33667). Euler's totient φ(33667) = 33280 numbers up to 33667 share no factor with it.
- 4
The digits of 33667 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33667 = 131 \times 257 \]
33667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34056 |
| Euler totient φ(n) | 33280 |
| Square | 1133466889 |
| Cube | 38160429751963 |
| Square root | 183.485694 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3667 × |
33667 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and sixty-seven |
| Binary (base 2) | 1000001110000011 |
| Octal (base 8) | 101603 |
| Hexadecimal (base 16) | 8383 |
| Base 3 | 1201011221 |
| As time | 33667 seconds = 9 h 21 min 7 s |
Is 33667 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 2) | 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 3) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33667 a prime number?
No. 33667 = 131 × 257, so it is divisible by 131.
What are the factors of 33667?
1, 131, 257, 33667.
What is 33667 in binary?
1000001110000011 (hexadecimal 8383, octal 101603).
What is the square root of 33667?
About 183.4857.
Is 33667 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33667?
33667 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 257, the product of two primes.