The number 33980
33980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1699. Divisors (12): 1, 2, 4, 5, 10, 20, 1699, 3398, 6796, 8495, 16990, 33980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33980 is composite. Its prime factorisation is
- 3
The divisors add up to 71400; without 33980 itself that is 37420, so 33980 is abundant (37420 is more than 33980). Euler's totient φ(33980) = 13584 numbers up to 33980 share no factor with it.
- 4
The digits of 33980 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33980 = 2^{2} \times 5 \times 1699 \]33980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71400 |
| Euler totient φ(n) | 13584 |
| Square | 1154640400 |
| Cube | 39234680792000 |
| Square root | 184.336649 (= 2√8495) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.398 × |
33980 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty |
| Binary (base 2) | 1000010010111100 |
| Octal (base 8) | 102274 |
| Hexadecimal (base 16) | 84BC |
| Base 3 | 1201121112 |
| As time | 33980 seconds = 9 h 26 min 20 s |
Is 33980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33980 ÷ 2 = 16990) | 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 | Yes (33980 ÷ 4 = 8495) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33980 ÷ 5 = 6796) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33980 ÷ 10 = 3398) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33980 a prime number?
No. 33980 = × 5 × 1699, so it is divisible by 2.
What are the factors of 33980?
1, 2, 4, 5, 10, 20, 1699, 3398, 6796, 8495, 16990, 33980.
What is 33980 in binary?
1000010010111100 (hexadecimal 84BC, octal 102274).
What is the square root of 33980?
About 184.3366, exactly 2√8495.
Is 33980 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33980?
It is a composite number with 12 divisors.