The number 53484
53484 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4457. Divisors (12): 1, 2, 3, 4, 6, 12, 4457, 8914, 13371, 17828, 26742, 53484.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53484: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53484 is composite. Its prime factorisation is
- 3
The divisors add up to 124824; without 53484 itself that is 71340, so 53484 is abundant (71340 is more than 53484). Euler's totient φ(53484) = 17824 numbers up to 53484 share no factor with it.
- 4
The digits of 53484 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53484 = 2^{2} \times 3 \times 4457 \]53484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124824 |
| Euler totient φ(n) | 17824 |
| Square | 2860538256 |
| Cube | 152993028083904 |
| Square root | 231.266081 (= 2√13371) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.3484 × |
53484 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and eighty-four |
| Binary (base 2) | 1101000011101100 |
| Octal (base 8) | 150354 |
| Hexadecimal (base 16) | D0EC |
| Base 3 | 2201100220 |
| As time | 53484 seconds = 14 h 51 min 24 s |
Is 53484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53484 ÷ 2 = 26742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53484 ÷ 3 = 17828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53484 ÷ 4 = 13371) | 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 | Yes (53484 ÷ 6 = 8914) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53484 ÷ 12 = 4457) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53484 a prime number?
No. 53484 = × 3 × 4457, so it is divisible by 2.
What are the factors of 53484?
1, 2, 3, 4, 6, 12, 4457, 8914, 13371, 17828, 26742, 53484.
What is 53484 in binary?
1101000011101100 (hexadecimal D0EC, octal 150354).
What is the square root of 53484?
About 231.2661, exactly 2√13371.
Is 53484 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53484?
53484 is a happy number: repeatedly adding the squares of its digits reaches 1.