The number 33374
33374 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 41. Divisors (16): 1, 2, 11, 22, 37, 41, 74, 82, 407, 451, 814, 902, 1517, 3034, 16687, 33374.
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How to work it out
- 1
33374 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33374 is composite. Its prime factorisation is
- 3
The divisors add up to 57456; without 33374 itself that is 24082, so 33374 is deficient (24082 is less than 33374). Euler's totient φ(33374) = 14400 numbers up to 33374 share no factor with it.
- 4
The digits of 33374 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33374 = 2 \times 11 \times 37 \times 41 \]
33374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 57456 |
| Euler totient φ(n) | 14400 |
| Square | 1113823876 |
| Cube | 37172758037624 |
| Square root | 182.685522 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3374 × |
33374 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy-four |
| Binary (base 2) | 1000001001011110 |
| Octal (base 8) | 101136 |
| Hexadecimal (base 16) | 825E |
| Base 3 | 1200210002 |
| As time | 33374 seconds = 9 h 16 min 14 s |
Is 33374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33374 ÷ 2 = 16687) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33374 ÷ 11 = 3034) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33374 a prime number?
No. 33374 = 2 × 11 × 37 × 41, so it is divisible by 2.
What are the factors of 33374?
1, 2, 11, 22, 37, 41, 74, 82, 407, 451, 814, 902, 1517, 3034, 16687, 33374.
What is 33374 in binary?
1000001001011110 (hexadecimal 825E, octal 101136).
What is the square root of 33374?
About 182.6855.
Is 33374 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33374?
It is a composite number with 16 divisors.