The number 33580
33580 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 73. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 73, 92, 115, 146, 230, 292, 365, 460 … 33580.
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How to work it out
- 1
33580 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33580 is composite. Its prime factorisation is
- 3
The divisors add up to 74592; without 33580 itself that is 41012, so 33580 is abundant (41012 is more than 33580). Euler's totient φ(33580) = 12672 numbers up to 33580 share no factor with it.
- 4
The digits of 33580 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33580 = 2^{2} \times 5 \times 23 \times 73 \]33580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74592 |
| Euler totient φ(n) | 12672 |
| Square | 1127616400 |
| Cube | 37865358712000 |
| Square root | 183.248465 (= 2√8395) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.358 × |
33580 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and eighty |
| Binary (base 2) | 1000001100101100 |
| Octal (base 8) | 101454 |
| Hexadecimal (base 16) | 832C |
| Base 3 | 1201001201 |
| As time | 33580 seconds = 9 h 19 min 40 s |
Is 33580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33580 ÷ 2 = 16790) | 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 (33580 ÷ 4 = 8395) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33580 ÷ 5 = 6716) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33580 ÷ 10 = 3358) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 33580 a prime number?
No. 33580 = × 5 × 23 × 73, so it is divisible by 2.
What are the factors of 33580?
1, 2, 4, 5, 10, 20, 23, 46, 73, 92, 115, 146, 230, 292, 365, 460, 730, 1460, 1679, 3358, 6716, 8395, 16790, 33580.
What is 33580 in binary?
1000001100101100 (hexadecimal 832C, octal 101454).
What is the square root of 33580?
About 183.2485, exactly 2√8395.
Is 33580 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33580?
It is a composite number with 24 divisors.