The number 33448
33448 is a composite number with 16 divisors. Its prime factorisation is × 37 × 113. Divisors (16): 1, 2, 4, 8, 37, 74, 113, 148, 226, 296, 452, 904, 4181, 8362, 16724, 33448.
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How to work it out
- 1
33448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33448 is composite. Its prime factorisation is
- 3
The divisors add up to 64980; without 33448 itself that is 31532, so 33448 is deficient (31532 is less than 33448). Euler's totient φ(33448) = 16128 numbers up to 33448 share no factor with it.
- 4
The digits of 33448 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33448 = 2^{3} \times 37 \times 113 \]33448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64980 |
| Euler totient φ(n) | 16128 |
| Square | 1118768704 |
| Cube | 37420575611392 |
| Square root | 182.887944 (= 2√8362) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3448 × |
33448 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and forty-eight |
| Binary (base 2) | 1000001010101000 |
| Octal (base 8) | 101250 |
| Hexadecimal (base 16) | 82A8 |
| Base 3 | 1200212211 |
| As time | 33448 seconds = 9 h 17 min 28 s |
Is 33448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33448 ÷ 2 = 16724) | 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 (33448 ÷ 4 = 8362) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (33448 ÷ 8 = 4181) | 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 | No (remainder 8) | 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 33448 a prime number?
No. 33448 = × 37 × 113, so it is divisible by 2.
What are the factors of 33448?
1, 2, 4, 8, 37, 74, 113, 148, 226, 296, 452, 904, 4181, 8362, 16724, 33448.
What is 33448 in binary?
1000001010101000 (hexadecimal 82A8, octal 101250).
What is the square root of 33448?
About 182.8879, exactly 2√8362.
Is 33448 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33448?
It is a composite number with 16 divisors.