The number 3484
3484 is a composite number with 12 divisors. Its prime factorisation is × 13 × 67. Divisors (12): 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3484 is composite. Its prime factorisation is
- 3
The divisors add up to 6664; without 3484 itself that is 3180, so 3484 is deficient (3180 is less than 3484). Euler's totient φ(3484) = 1584 numbers up to 3484 share no factor with it.
- 4
The digits of 3484 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3484 = 2^{2} \times 13 \times 67 \]3484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6664 |
| Euler totient φ(n) | 1584 |
| Square | 12138256 |
| Cube | 42289683904 |
| Square root | 59.025418 (= 2√871) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 180 |
| Scientific notation | 3.484 × |
3484 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and eighty-four |
| Roman numerals | MMMCDLXXXIV |
| Binary (base 2) | 110110011100 |
| Octal (base 8) | 6634 |
| Hexadecimal (base 16) | D9C |
| Base 3 | 11210001 |
| As time | 3484 seconds = 58 min 4 s |
Is 3484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3484 ÷ 2 = 1742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3484 ÷ 4 = 871) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3484 a prime number?
No. 3484 = × 13 × 67, so it is divisible by 2.
What are the factors of 3484?
1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484.
What is 3484 in binary?
110110011100 (hexadecimal D9C, octal 6634).
What is the square root of 3484?
About 59.0254, exactly 2√871.
What is 3484 in Roman numerals?
MMMCDLXXXIV.
Is 3484 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3484?
It is a composite number with 12 divisors.