The number 33532
33532 is a composite number with 12 divisors. Its prime factorisation is × 83 × 101. Divisors (12): 1, 2, 4, 83, 101, 166, 202, 332, 404, 8383, 16766, 33532.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33532 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33532 is composite. Its prime factorisation is
- 3
The divisors add up to 59976; without 33532 itself that is 26444, so 33532 is deficient (26444 is less than 33532). Euler's totient φ(33532) = 16400 numbers up to 33532 share no factor with it.
- 4
The digits of 33532 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33532 = 2^{2} \times 83 \times 101 \]33532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59976 |
| Euler totient φ(n) | 16400 |
| Square | 1124395024 |
| Cube | 37703213944768 |
| Square root | 183.117449 (= 2√8383) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3532 × |
33532 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and thirty-two |
| Binary (base 2) | 1000001011111100 |
| Octal (base 8) | 101374 |
| Hexadecimal (base 16) | 82FC |
| Base 3 | 1200222221 |
| As time | 33532 seconds = 9 h 18 min 52 s |
Is 33532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33532 ÷ 2 = 16766) | 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 (33532 ÷ 4 = 8383) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | 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 33532 a prime number?
No. 33532 = × 83 × 101, so it is divisible by 2.
What are the factors of 33532?
1, 2, 4, 83, 101, 166, 202, 332, 404, 8383, 16766, 33532.
What is 33532 in binary?
1000001011111100 (hexadecimal 82FC, octal 101374).
What is the square root of 33532?
About 183.1174, exactly 2√8383.
Is 33532 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33532?
It is a composite number with 12 divisors.