The number 32990
32990 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3299. Divisors (8): 1, 2, 5, 10, 3299, 6598, 16495, 32990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32990 is composite. Its prime factorisation is
- 3
The divisors add up to 59400; without 32990 itself that is 26410, so 32990 is deficient (26410 is less than 32990). Euler's totient φ(32990) = 13192 numbers up to 32990 share no factor with it.
- 4
The digits of 32990 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32990 = 2 \times 5 \times 3299 \]
32990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59400 |
| Euler totient φ(n) | 13192 |
| Square | 1088340100 |
| Cube | 35904339899000 |
| Square root | 181.631495 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.299 × |
32990 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and ninety |
| Binary (base 2) | 1000000011011110 |
| Octal (base 8) | 100336 |
| Hexadecimal (base 16) | 80DE |
| Base 3 | 1200020212 |
| As time | 32990 seconds = 9 h 9 min 50 s |
Is 32990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32990 ÷ 2 = 16495) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32990 ÷ 5 = 6598) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32990 ÷ 10 = 3299) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32990 a prime number?
No. 32990 = 2 × 5 × 3299, so it is divisible by 2.
What are the factors of 32990?
1, 2, 5, 10, 3299, 6598, 16495, 32990.
What is 32990 in binary?
1000000011011110 (hexadecimal 80DE, octal 100336).
What is the square root of 32990?
About 181.6315.
Is 32990 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32990?
It is a composite number with 8 divisors.