The number 32980
32980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 97. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 97, 170, 194, 340, 388, 485 … 32980.
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How to work it out
- 1
32980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32980 is composite. Its prime factorisation is
- 3
The divisors add up to 74088; without 32980 itself that is 41108, so 32980 is abundant (41108 is more than 32980). Euler's totient φ(32980) = 12288 numbers up to 32980 share no factor with it.
- 4
The digits of 32980 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32980 = 2^{2} \times 5 \times 17 \times 97 \]32980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74088 |
| Euler totient φ(n) | 12288 |
| Square | 1087680400 |
| Cube | 35871699592000 |
| Square root | 181.603965 (= 2√8245) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.298 × |
32980 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty |
| Binary (base 2) | 1000000011010100 |
| Octal (base 8) | 100324 |
| Hexadecimal (base 16) | 80D4 |
| Base 3 | 1200020111 |
| As time | 32980 seconds = 9 h 9 min 40 s |
Is 32980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32980 ÷ 2 = 16490) | 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 (32980 ÷ 4 = 8245) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32980 ÷ 5 = 6596) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32980 ÷ 10 = 3298) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 32980 a prime number?
No. 32980 = × 5 × 17 × 97, so it is divisible by 2.
What are the factors of 32980?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 97, 170, 194, 340, 388, 485, 970, 1649, 1940, 3298, 6596, 8245, 16490, 32980.
What is 32980 in binary?
1000000011010100 (hexadecimal 80D4, octal 100324).
What is the square root of 32980?
About 181.6040, exactly 2√8245.
Is 32980 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32980?
It is a composite number with 24 divisors.