The number 32949
32949 is a composite number with 12 divisors. Its prime factorisation is × 7 × 523. Divisors (12): 1, 3, 7, 9, 21, 63, 523, 1569, 3661, 4707, 10983, 32949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32949 is composite. Its prime factorisation is
- 3
The divisors add up to 54496; without 32949 itself that is 21547, so 32949 is deficient (21547 is less than 32949). Euler's totient φ(32949) = 18792 numbers up to 32949 share no factor with it.
- 4
The digits of 32949 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32949 = 3^{2} \times 7 \times 523 \]32949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54496 |
| Euler totient φ(n) | 18792 |
| Square | 1085636601 |
| Cube | 35770640366349 |
| Square root | 181.518594 (= 3√3661) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2949 × |
32949 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and forty-nine |
| Binary (base 2) | 1000000010110101 |
| Octal (base 8) | 100265 |
| Hexadecimal (base 16) | 80B5 |
| Base 3 | 1200012100 |
| As time | 32949 seconds = 9 h 9 min 9 s |
Is 32949 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 (32949 ÷ 3 = 10983) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32949 ÷ 7 = 4707) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32949 ÷ 9 = 3661) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32949 a prime number?
No. 32949 = × 7 × 523, so it is divisible by 3.
What are the factors of 32949?
1, 3, 7, 9, 21, 63, 523, 1569, 3661, 4707, 10983, 32949.
What is 32949 in binary?
1000000010110101 (hexadecimal 80B5, octal 100265).
What is the square root of 32949?
About 181.5186, exactly 3√3661.
Is 32949 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 32949?
It is a composite number with 12 divisors.