The number 33672
33672 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 61, 69, 92, 122, 138, 183 … 33672.
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How to work it out
- 1
33672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33672 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 33672 itself that is 55608, so 33672 is abundant (55608 is more than 33672). Euler's totient φ(33672) = 10560 numbers up to 33672 share no factor with it.
- 4
The digits of 33672 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33672 = 2^{3} \times 3 \times 23 \times 61 \]33672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 10560 |
| Square | 1133803584 |
| Cube | 38177434280448 |
| Square root | 183.499319 (= 2√8418) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3672 × |
33672 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and seventy-two |
| Binary (base 2) | 1000001110001000 |
| Octal (base 8) | 101610 |
| Hexadecimal (base 16) | 8388 |
| Base 3 | 1201012010 |
| As time | 33672 seconds = 9 h 21 min 12 s |
Is 33672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33672 ÷ 2 = 16836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33672 ÷ 3 = 11224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33672 ÷ 4 = 8418) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33672 ÷ 6 = 5612) | 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 | Yes (33672 ÷ 8 = 4209) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33672 ÷ 12 = 2806) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33672 a prime number?
No. 33672 = × 3 × 23 × 61, so it is divisible by 2.
What are the factors of 33672?
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 61, 69, 92, 122, 138, 183, 184, 244, 276, 366, 488, 552, 732, 1403, 1464, 2806, 4209, 5612, 8418, 11224, 16836, 33672.
What is 33672 in binary?
1000001110001000 (hexadecimal 8388, octal 101610).
What is the square root of 33672?
About 183.4993, exactly 2√8418.
Is 33672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33672?
It is a composite number with 32 divisors.