The number 33724
33724 is a composite number with 6 divisors. Its prime factorisation is × 8431. Divisors (6): 1, 2, 4, 8431, 16862, 33724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33724 is composite. Its prime factorisation is
- 3
The divisors add up to 59024; without 33724 itself that is 25300, so 33724 is deficient (25300 is less than 33724). Euler's totient φ(33724) = 16860 numbers up to 33724 share no factor with it.
- 4
The digits of 33724 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33724 = 2^{2} \times 8431 \]33724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 59024 |
| Euler totient φ(n) | 16860 |
| Square | 1137308176 |
| Cube | 38354580927424 |
| Square root | 183.640954 (= 2√8431) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3724 × |
33724 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and twenty-four |
| Binary (base 2) | 1000001110111100 |
| Octal (base 8) | 101674 |
| Hexadecimal (base 16) | 83BC |
| Base 3 | 1201021001 |
| As time | 33724 seconds = 9 h 22 min 4 s |
Is 33724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33724 ÷ 2 = 16862) | 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 (33724 ÷ 4 = 8431) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33724 a prime number?
No. 33724 = × 8431, so it is divisible by 2.
What are the factors of 33724?
1, 2, 4, 8431, 16862, 33724.
What is 33724 in binary?
1000001110111100 (hexadecimal 83BC, octal 101674).
What is the square root of 33724?
About 183.6410, exactly 2√8431.
Is 33724 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33724?
It is a composite number with 6 divisors.