The number 32955
32955 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × . Divisors (16): 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2197, 2535, 6591, 10985, 32955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32955 is composite. Its prime factorisation is
- 3
The divisors add up to 57120; without 32955 itself that is 24165, so 32955 is deficient (24165 is less than 32955). Euler's totient φ(32955) = 16224 numbers up to 32955 share no factor with it.
- 4
The digits of 32955 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32955 = 3 \times 5 \times 13^{3} \]32955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57120 |
| Euler totient φ(n) | 16224 |
| Square | 1086032025 |
| Cube | 35790185383875 |
| Square root | 181.535121 (= 13√195) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 121 |
| Scientific notation | 3.2955 × |
32955 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and fifty-five |
| Binary (base 2) | 1000000010111011 |
| Octal (base 8) | 100273 |
| Hexadecimal (base 16) | 80BB |
| Base 3 | 1200012120 |
| As time | 32955 seconds = 9 h 9 min 15 s |
Is 32955 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32955 ÷ 3 = 10985) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32955 ÷ 5 = 6591) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32955 a prime number?
No. 32955 = 3 × 5 × , so it is divisible by 3.
What are the factors of 32955?
1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2197, 2535, 6591, 10985, 32955.
What is 32955 in binary?
1000000010111011 (hexadecimal 80BB, octal 100273).
What is the square root of 32955?
About 181.5351, exactly 13√195.
Is 32955 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32955?
It is a composite number with 16 divisors.