The number 32994
32994 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 47. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 94, 117, 141 … 32994.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32994: a Harshad number: divisible by its digit sum 27.
- 2
32994 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 32994 itself that is 47646, so 32994 is abundant (47646 is more than 32994). Euler's totient φ(32994) = 9936 numbers up to 32994 share no factor with it.
- 4
The digits of 32994 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32994 = 2 \times 3^{3} \times 13 \times 47 \]32994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 9936 |
| Square | 1088604036 |
| Cube | 35917401563784 |
| Square root | 181.642506 (= 3√3666) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2994 × |
32994 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and ninety-four |
| Binary (base 2) | 1000000011100010 |
| Octal (base 8) | 100342 |
| Hexadecimal (base 16) | 80E2 |
| Base 3 | 1200021000 |
| As time | 32994 seconds = 9 h 9 min 54 s |
Is 32994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32994 ÷ 2 = 16497) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32994 ÷ 3 = 10998) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (32994 ÷ 6 = 5499) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32994 ÷ 9 = 3666) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32994 a prime number?
No. 32994 = 2 × × 13 × 47, so it is divisible by 2.
What are the factors of 32994?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 47, 54, 78, 94, 117, 141, 234, 282, 351, 423, 611, 702, 846, 1222, 1269, 1833, 2538, 3666, 5499, 10998, 16497, 32994.
What is 32994 in binary?
1000000011100010 (hexadecimal 80E2, octal 100342).
What is the square root of 32994?
About 181.6425, exactly 3√3666.
Is 32994 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 32994?
32994 is a Harshad number: divisible by its digit sum 27.