The number 33465
33465 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 23 × 97. Divisors (16): 1, 3, 5, 15, 23, 69, 97, 115, 291, 345, 485, 1455, 2231, 6693, 11155, 33465.
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How to work it out
- 1
33465 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33465 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 33465 itself that is 22983, so 33465 is deficient (22983 is less than 33465). Euler's totient φ(33465) = 16896 numbers up to 33465 share no factor with it.
- 4
The digits of 33465 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33465 = 3 \times 5 \times 23 \times 97 \]
33465 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 16896 |
| Square | 1119906225 |
| Cube | 37477661819625 |
| Square root | 182.934414 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3465 × |
33465 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and sixty-five |
| Binary (base 2) | 1000001010111001 |
| Octal (base 8) | 101271 |
| Hexadecimal (base 16) | 82B9 |
| Base 3 | 1200220110 |
| As time | 33465 seconds = 9 h 17 min 45 s |
Is 33465 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33465 ÷ 3 = 11155) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33465 ÷ 5 = 6693) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33465 a prime number?
No. 33465 = 3 × 5 × 23 × 97, so it is divisible by 3.
What are the factors of 33465?
1, 3, 5, 15, 23, 69, 97, 115, 291, 345, 485, 1455, 2231, 6693, 11155, 33465.
What is 33465 in binary?
1000001010111001 (hexadecimal 82B9, octal 101271).
What is the square root of 33465?
About 182.9344.
Is 33465 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33465?
It is a composite number with 16 divisors.