The number 53736
53736 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2239. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2239, 4478, 6717, 8956, 13434, 17912, 26868, 53736.
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How to work it out
- 1
What is special about 53736: a Harshad number: divisible by its digit sum 24.
- 2
53736 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 53736 itself that is 80664, so 53736 is abundant (80664 is more than 53736). Euler's totient φ(53736) = 17904 numbers up to 53736 share no factor with it.
- 4
The digits of 53736 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53736 = 2^{3} \times 3 \times 2239 \]53736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 17904 |
| Square | 2887557696 |
| Cube | 155165800352256 |
| Square root | 231.810267 (= 2√13434) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3736 × |
53736 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and thirty-six |
| Binary (base 2) | 1101000111101000 |
| Octal (base 8) | 150750 |
| Hexadecimal (base 16) | D1E8 |
| Base 3 | 2201201020 |
| As time | 53736 seconds = 14 h 55 min 36 s |
Is 53736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53736 ÷ 2 = 26868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53736 ÷ 3 = 17912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53736 ÷ 4 = 13434) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53736 ÷ 6 = 8956) | 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 | Yes (53736 ÷ 8 = 6717) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53736 ÷ 12 = 4478) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53736 a prime number?
No. 53736 = × 3 × 2239, so it is divisible by 2.
What are the factors of 53736?
1, 2, 3, 4, 6, 8, 12, 24, 2239, 4478, 6717, 8956, 13434, 17912, 26868, 53736.
What is 53736 in binary?
1101000111101000 (hexadecimal D1E8, octal 150750).
What is the square root of 53736?
About 231.8103, exactly 2√13434.
Is 53736 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53736?
53736 is a Harshad number: divisible by its digit sum 24.