The number 3483
3483 is a binary palindrome (110110011011). Its prime factorisation is × 43. Divisors (10): 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3483: a binary palindrome (110110011011).
- 2
3483 is composite. Its prime factorisation is
- 3
The divisors add up to 5324; without 3483 itself that is 1841, so 3483 is deficient (1841 is less than 3483). Euler's totient φ(3483) = 2268 numbers up to 3483 share no factor with it.
- 4
The digits of 3483 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3483 = 3^{4} \times 43 \]3483 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 5324 |
| Euler totient φ(n) | 2268 |
| Square | 12131289 |
| Cube | 42253279587 |
| Square root | 59.016947 (= 9√43) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.483 × |
3483 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and eighty-three |
| Roman numerals | MMMCDLXXXIII |
| Binary (base 2) | 110110011011 |
| Octal (base 8) | 6633 |
| Hexadecimal (base 16) | D9B |
| Base 3 | 11210000 |
| As time | 3483 seconds = 58 min 3 s |
Is 3483 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3483 ÷ 3 = 1161) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (3483 ÷ 9 = 387) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3483 a prime number?
No. 3483 = × 43, so it is divisible by 3.
What are the factors of 3483?
1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483.
What is 3483 in binary?
110110011011 (hexadecimal D9B, octal 6633).
What is the square root of 3483?
About 59.0169, exactly 9√43.
What is 3483 in Roman numerals?
MMMCDLXXXIII.
Is 3483 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3483?
3483 is a binary palindrome (110110011011).