The number 33744
33744 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 37. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 37, 38, 48, 57, 74, 76 … 33744.
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How to work it out
- 1
33744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33744 is composite. Its prime factorisation is
- 3
The divisors add up to 94240; without 33744 itself that is 60496, so 33744 is abundant (60496 is more than 33744). Euler's totient φ(33744) = 10368 numbers up to 33744 share no factor with it.
- 4
The digits of 33744 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33744 = 2^{4} \times 3 \times 19 \times 37 \]33744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 94240 |
| Euler totient φ(n) | 10368 |
| Square | 1138657536 |
| Cube | 38422859894784 |
| Square root | 183.695400 (= 4√2109) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3744 × |
33744 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and forty-four |
| Binary (base 2) | 1000001111010000 |
| Octal (base 8) | 101720 |
| Hexadecimal (base 16) | 83D0 |
| Base 3 | 1201021210 |
| As time | 33744 seconds = 9 h 22 min 24 s |
Is 33744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33744 ÷ 2 = 16872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33744 ÷ 3 = 11248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33744 ÷ 4 = 8436) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33744 ÷ 6 = 5624) | 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 | Yes (33744 ÷ 8 = 4218) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (33744 ÷ 12 = 2812) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33744 a prime number?
No. 33744 = × 3 × 19 × 37, so it is divisible by 2.
What are the factors of 33744?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 37, 38, 48, 57, 74, 76, 111, 114, 148, 152, 222, 228, 296, 304, 444, 456, 592, 703, 888, 912, 1406, 1776, 2109, 2812, 4218, 5624, 8436, 11248, 16872, 33744.
What is 33744 in binary?
1000001111010000 (hexadecimal 83D0, octal 101720).
What is the square root of 33744?
About 183.6954, exactly 4√2109.
Is 33744 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33744?
It is a composite number with 40 divisors.