The number 13484
13484 is a composite number with 6 divisors. Its prime factorisation is × 3371. Divisors (6): 1, 2, 4, 3371, 6742, 13484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13484 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13484 is composite. Its prime factorisation is
- 3
The divisors add up to 23604; without 13484 itself that is 10120, so 13484 is deficient (10120 is less than 13484). Euler's totient φ(13484) = 6740 numbers up to 13484 share no factor with it.
- 4
The digits of 13484 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13484 = 2^{2} \times 3371 \]13484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23604 |
| Euler totient φ(n) | 6740 |
| Square | 181818256 |
| Cube | 2451637363904 |
| Square root | 116.120627 (= 2√3371) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3484 × |
13484 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighty-four |
| Binary (base 2) | 11010010101100 |
| Octal (base 8) | 32254 |
| Hexadecimal (base 16) | 34AC |
| Base 3 | 200111102 |
| As time | 13484 seconds = 3 h 44 min 44 s |
Is 13484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13484 ÷ 2 = 6742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13484 ÷ 4 = 3371) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13484 a prime number?
No. 13484 = × 3371, so it is divisible by 2.
What are the factors of 13484?
1, 2, 4, 3371, 6742, 13484.
What is 13484 in binary?
11010010101100 (hexadecimal 34AC, octal 32254).
What is the square root of 13484?
About 116.1206, exactly 2√3371.
Is 13484 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13484?
It is a composite number with 6 divisors.