The number 3474
3474 is a composite number with 12 divisors. Its prime factorisation is 2 × × 193. Divisors (12): 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3474: a Harshad number: divisible by its digit sum 18.
- 2
3474 is composite. Its prime factorisation is
- 3
The divisors add up to 7566; without 3474 itself that is 4092, so 3474 is abundant (4092 is more than 3474). Euler's totient φ(3474) = 1152 numbers up to 3474 share no factor with it.
- 4
The digits of 3474 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3474 = 2 \times 3^{2} \times 193 \]3474 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7566 |
| Euler totient φ(n) | 1152 |
| Square | 12068676 |
| Cube | 41926580424 |
| Square root | 58.940648 (= 3√386) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.474 × |
3474 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seventy-four |
| Roman numerals | MMMCDLXXIV |
| Binary (base 2) | 110110010010 |
| Octal (base 8) | 6622 |
| Hexadecimal (base 16) | D92 |
| Base 3 | 11202200 |
| As time | 3474 seconds = 57 min 54 s |
Is 3474 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3474 ÷ 2 = 1737) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3474 ÷ 3 = 1158) | 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 (3474 ÷ 6 = 579) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3474 ÷ 9 = 386) | 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 9) | 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 3474 a prime number?
No. 3474 = 2 × × 193, so it is divisible by 2.
What are the factors of 3474?
1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474.
What is 3474 in binary?
110110010010 (hexadecimal D92, octal 6622).
What is the square root of 3474?
About 58.9406, exactly 3√386.
What is 3474 in Roman numerals?
MMMCDLXXIV.
Is 3474 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3474?
3474 is a Harshad number: divisible by its digit sum 18.