The number 33701
33701 is a composite number with 4 divisors. Its prime factorisation is 67 × 503. Divisors (4): 1, 67, 503, 33701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33701: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 503, the product of two primes.
- 2
33701 is composite. Its prime factorisation is
- 3
The divisors add up to 34272; without 33701 itself that is 571, so 33701 is deficient (571 is less than 33701). Euler's totient φ(33701) = 33132 numbers up to 33701 share no factor with it.
- 4
The digits of 33701 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33701 = 67 \times 503 \]
33701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34272 |
| Euler totient φ(n) | 33132 |
| Square | 1135757401 |
| Cube | 38276160171101 |
| Square root | 183.578321 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3701 × |
33701 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and one |
| Binary (base 2) | 1000001110100101 |
| Octal (base 8) | 101645 |
| Hexadecimal (base 16) | 83A5 |
| Base 3 | 1201020012 |
| As time | 33701 seconds = 9 h 21 min 41 s |
Is 33701 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33701 a prime number?
No. 33701 = 67 × 503, so it is divisible by 67.
What are the factors of 33701?
1, 67, 503, 33701.
What is 33701 in binary?
1000001110100101 (hexadecimal 83A5, octal 101645).
What is the square root of 33701?
About 183.5783.
Is 33701 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33701?
33701 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 503, the product of two primes.