The number 33572
33572 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 109. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 109, 154, 218, 308, 436, 763 … 33572.
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How to work it out
- 1
33572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33572 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 33572 itself that is 40348, so 33572 is abundant (40348 is more than 33572). Euler's totient φ(33572) = 12960 numbers up to 33572 share no factor with it.
- 4
The digits of 33572 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33572 = 2^{2} \times 7 \times 11 \times 109 \]33572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 12960 |
| Square | 1127079184 |
| Cube | 37838302365248 |
| Square root | 183.226636 (= 2√8393) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3572 × |
33572 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and seventy-two |
| Binary (base 2) | 1000001100100100 |
| Octal (base 8) | 101444 |
| Hexadecimal (base 16) | 8324 |
| Base 3 | 1201001102 |
| As time | 33572 seconds = 9 h 19 min 32 s |
Is 33572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33572 ÷ 2 = 16786) | 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 (33572 ÷ 4 = 8393) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33572 ÷ 7 = 4796) | 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 2) | 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 | Yes (33572 ÷ 11 = 3052) | 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 33572 a prime number?
No. 33572 = × 7 × 11 × 109, so it is divisible by 2.
What are the factors of 33572?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 109, 154, 218, 308, 436, 763, 1199, 1526, 2398, 3052, 4796, 8393, 16786, 33572.
What is 33572 in binary?
1000001100100100 (hexadecimal 8324, octal 101444).
What is the square root of 33572?
About 183.2266, exactly 2√8393.
Is 33572 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33572?
It is a composite number with 24 divisors.