The number 3438
3438 is a composite number with 12 divisors. Its prime factorisation is 2 × × 191. Divisors (12): 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3438: a Harshad number: divisible by its digit sum 18.
- 2
3438 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 3438 itself that is 4050, so 3438 is abundant (4050 is more than 3438). Euler's totient φ(3438) = 1140 numbers up to 3438 share no factor with it.
- 4
The digits of 3438 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 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3438 = 2 \times 3^{2} \times 191 \]3438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 1140 |
| Square | 11819844 |
| Cube | 40636623672 |
| Square root | 58.634461 (= 3√382) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.438 × |
3438 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and thirty-eight |
| Roman numerals | MMMCDXXXVIII |
| Binary (base 2) | 110101101110 |
| Octal (base 8) | 6556 |
| Hexadecimal (base 16) | D6E |
| Base 3 | 11201100 |
| As time | 3438 seconds = 57 min 18 s |
Is 3438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3438 ÷ 2 = 1719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3438 ÷ 3 = 1146) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3438 ÷ 6 = 573) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (3438 ÷ 9 = 382) | 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 6) | 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 3438 a prime number?
No. 3438 = 2 × × 191, so it is divisible by 2.
What are the factors of 3438?
1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438.
What is 3438 in binary?
110101101110 (hexadecimal D6E, octal 6556).
What is the square root of 3438?
About 58.6345, exactly 3√382.
What is 3438 in Roman numerals?
MMMCDXXXVIII.
Is 3438 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3438?
3438 is a Harshad number: divisible by its digit sum 18.