The number 33376
33376 is a composite number with 24 divisors. Its prime factorisation is × 7 × 149. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 149, 224, 298, 596, 1043 … 33376.
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How to work it out
- 1
33376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33376 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 33376 itself that is 42224, so 33376 is abundant (42224 is more than 33376). Euler's totient φ(33376) = 14208 numbers up to 33376 share no factor with it.
- 4
The digits of 33376 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
\[ 33376 = 2^{5} \times 7 \times 149 \]33376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 14208 |
| Square | 1113957376 |
| Cube | 37179441381376 |
| Square root | 182.690996 (= 4√2086) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3376 × |
33376 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy-six |
| Binary (base 2) | 1000001001100000 |
| Octal (base 8) | 101140 |
| Hexadecimal (base 16) | 8260 |
| Base 3 | 1200210011 |
| As time | 33376 seconds = 9 h 16 min 16 s |
Is 33376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33376 ÷ 2 = 16688) | 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 (33376 ÷ 4 = 8344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (33376 ÷ 7 = 4768) | 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 (33376 ÷ 8 = 4172) | 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 6) | 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 33376 a prime number?
No. 33376 = × 7 × 149, so it is divisible by 2.
What are the factors of 33376?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 149, 224, 298, 596, 1043, 1192, 2086, 2384, 4172, 4768, 8344, 16688, 33376.
What is 33376 in binary?
1000001001100000 (hexadecimal 8260, octal 101140).
What is the square root of 33376?
About 182.6910, exactly 4√2086.
Is 33376 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33376?
It is a composite number with 24 divisors.