The number 16484
16484 is a composite number with 12 divisors. Its prime factorisation is × 13 × 317. Divisors (12): 1, 2, 4, 13, 26, 52, 317, 634, 1268, 4121, 8242, 16484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16484: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16484 is composite. Its prime factorisation is
- 3
The divisors add up to 31164; without 16484 itself that is 14680, so 16484 is deficient (14680 is less than 16484). Euler's totient φ(16484) = 7584 numbers up to 16484 share no factor with it.
- 4
The digits of 16484 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16484 = 2^{2} \times 13 \times 317 \]16484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31164 |
| Euler totient φ(n) | 7584 |
| Square | 271722256 |
| Cube | 4479069667904 |
| Square root | 128.390031 (= 2√4121) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6484 × |
16484 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and eighty-four |
| Binary (base 2) | 100000001100100 |
| Octal (base 8) | 40144 |
| Hexadecimal (base 16) | 4064 |
| Base 3 | 211121112 |
| As time | 16484 seconds = 4 h 34 min 44 s |
Is 16484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16484 ÷ 2 = 8242) | 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 (16484 ÷ 4 = 4121) | 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 6) | 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 5) | 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 6) | 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 16484 a prime number?
No. 16484 = × 13 × 317, so it is divisible by 2.
What are the factors of 16484?
1, 2, 4, 13, 26, 52, 317, 634, 1268, 4121, 8242, 16484.
What is 16484 in binary?
100000001100100 (hexadecimal 4064, octal 40144).
What is the square root of 16484?
About 128.3900, exactly 2√4121.
Is 16484 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 16484?
16484 is a happy number: repeatedly adding the squares of its digits reaches 1.