The number 33940
33940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1697. Divisors (12): 1, 2, 4, 5, 10, 20, 1697, 3394, 6788, 8485, 16970, 33940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33940 is composite. Its prime factorisation is
- 3
The divisors add up to 71316; without 33940 itself that is 37376, so 33940 is abundant (37376 is more than 33940). Euler's totient φ(33940) = 13568 numbers up to 33940 share no factor with it.
- 4
The digits of 33940 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33940 = 2^{2} \times 5 \times 1697 \]33940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71316 |
| Euler totient φ(n) | 13568 |
| Square | 1151923600 |
| Cube | 39096286984000 |
| Square root | 184.228119 (= 2√8485) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.394 × |
33940 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and forty |
| Binary (base 2) | 1000010010010100 |
| Octal (base 8) | 102224 |
| Hexadecimal (base 16) | 8494 |
| Base 3 | 1201120001 |
| As time | 33940 seconds = 9 h 25 min 40 s |
Is 33940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33940 ÷ 2 = 16970) | 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 (33940 ÷ 4 = 8485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33940 ÷ 5 = 6788) | 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 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 4) | 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 | Yes (33940 ÷ 10 = 3394) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 33940 a prime number?
No. 33940 = × 5 × 1697, so it is divisible by 2.
What are the factors of 33940?
1, 2, 4, 5, 10, 20, 1697, 3394, 6788, 8485, 16970, 33940.
What is 33940 in binary?
1000010010010100 (hexadecimal 8494, octal 102224).
What is the square root of 33940?
About 184.2281, exactly 2√8485.
Is 33940 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33940?
It is a composite number with 12 divisors.