The number 33474
33474 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 797. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 797, 1594, 2391, 4782, 5579, 11158, 16737, 33474.
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How to work it out
- 1
What is special about 33474: a Harshad number: divisible by its digit sum 21.
- 2
33474 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 33474 itself that is 43134, so 33474 is abundant (43134 is more than 33474). Euler's totient φ(33474) = 9552 numbers up to 33474 share no factor with it.
- 4
The digits of 33474 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
\[ 33474 = 2 \times 3 \times 7 \times 797 \]
33474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 9552 |
| Square | 1120508676 |
| Cube | 37507907420424 |
| Square root | 182.959012 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3474 × |
33474 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and seventy-four |
| Binary (base 2) | 1000001011000010 |
| Octal (base 8) | 101302 |
| Hexadecimal (base 16) | 82C2 |
| Base 3 | 1200220210 |
| As time | 33474 seconds = 9 h 17 min 54 s |
Is 33474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33474 ÷ 2 = 16737) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33474 ÷ 3 = 11158) | 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 | Yes (33474 ÷ 6 = 5579) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33474 ÷ 7 = 4782) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33474 a prime number?
No. 33474 = 2 × 3 × 7 × 797, so it is divisible by 2.
What are the factors of 33474?
1, 2, 3, 6, 7, 14, 21, 42, 797, 1594, 2391, 4782, 5579, 11158, 16737, 33474.
What is 33474 in binary?
1000001011000010 (hexadecimal 82C2, octal 101302).
What is the square root of 33474?
About 182.9590.
Is 33474 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33474?
33474 is a Harshad number: divisible by its digit sum 21.