The number 33700
33700 is a composite number with 18 divisors. Its prime factorisation is × × 337. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 337, 674, 1348, 1685, 3370, 6740, 8425 … 33700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33700 is composite. Its prime factorisation is
- 3
The divisors add up to 73346; without 33700 itself that is 39646, so 33700 is abundant (39646 is more than 33700). Euler's totient φ(33700) = 13440 numbers up to 33700 share no factor with it.
- 4
The digits of 33700 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33700 = 2^{2} \times 5^{2} \times 337 \]33700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 73346 |
| Euler totient φ(n) | 13440 |
| Square | 1135690000 |
| Cube | 38272753000000 |
| Square root | 183.575598 (= 10√337) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.37 × |
33700 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred |
| Binary (base 2) | 1000001110100100 |
| Octal (base 8) | 101644 |
| Hexadecimal (base 16) | 83A4 |
| Base 3 | 1201020011 |
| As time | 33700 seconds = 9 h 21 min 40 s |
Is 33700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33700 ÷ 2 = 16850) | 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 | Yes (33700 ÷ 4 = 8425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33700 ÷ 5 = 6740) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33700 ÷ 10 = 3370) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33700 a prime number?
No. 33700 = × × 337, so it is divisible by 2.
What are the factors of 33700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 337, 674, 1348, 1685, 3370, 6740, 8425, 16850, 33700.
What is 33700 in binary?
1000001110100100 (hexadecimal 83A4, octal 101644).
What is the square root of 33700?
About 183.5756, exactly 10√337.
Is 33700 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33700?
It is a composite number with 18 divisors.