The number 33740
33740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 241. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 241, 482, 964, 1205 … 33740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33740 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 33740 itself that is 47572, so 33740 is abundant (47572 is more than 33740). Euler's totient φ(33740) = 11520 numbers up to 33740 share no factor with it.
- 4
The digits of 33740 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33740 = 2^{2} \times 5 \times 7 \times 241 \]33740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 11520 |
| Square | 1138387600 |
| Cube | 38409197624000 |
| Square root | 183.684512 (= 2√8435) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.374 × |
33740 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty |
| Binary (base 2) | 1000001111001100 |
| Octal (base 8) | 101714 |
| Hexadecimal (base 16) | 83CC |
| Base 3 | 1201021122 |
| As time | 33740 seconds = 9 h 22 min 20 s |
Is 33740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33740 ÷ 2 = 16870) | 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 | Yes (33740 ÷ 4 = 8435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33740 ÷ 5 = 6748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33740 ÷ 7 = 4820) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33740 ÷ 10 = 3374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33740 a prime number?
No. 33740 = × 5 × 7 × 241, so it is divisible by 2.
What are the factors of 33740?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 241, 482, 964, 1205, 1687, 2410, 3374, 4820, 6748, 8435, 16870, 33740.
What is 33740 in binary?
1000001111001100 (hexadecimal 83CC, octal 101714).
What is the square root of 33740?
About 183.6845, exactly 2√8435.
Is 33740 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33740?
It is a composite number with 24 divisors.