The number 3468
3468 is a composite number with 18 divisors. Its prime factorisation is × 3 × . Divisors (18): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156 … 3468.
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How to work it out
- 1
3468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3468 is composite. Its prime factorisation is
- 3
The divisors add up to 8596; without 3468 itself that is 5128, so 3468 is abundant (5128 is more than 3468). Euler's totient φ(3468) = 1088 numbers up to 3468 share no factor with it.
- 4
The digits of 3468 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 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3468 = 2^{2} \times 3 \times 17^{2} \]3468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 8596 |
| Euler totient φ(n) | 1088 |
| Square | 12027024 |
| Cube | 41709719232 |
| Square root | 58.889727 (= 34√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.468 × |
3468 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and sixty-eight |
| Roman numerals | MMMCDLXVIII |
| Binary (base 2) | 110110001100 |
| Octal (base 8) | 6614 |
| Hexadecimal (base 16) | D8C |
| Base 3 | 11202110 |
| As time | 3468 seconds = 57 min 48 s |
Is 3468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3468 ÷ 2 = 1734) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3468 ÷ 3 = 1156) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3468 ÷ 4 = 867) | 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 (3468 ÷ 6 = 578) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3468 ÷ 12 = 289) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3468 a prime number?
No. 3468 = × 3 × , so it is divisible by 2.
What are the factors of 3468?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468.
What is 3468 in binary?
110110001100 (hexadecimal D8C, octal 6614).
What is the square root of 3468?
About 58.8897, exactly 34√3.
What is 3468 in Roman numerals?
MMMCDLXVIII.
Is 3468 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3468?
It is a composite number with 18 divisors.