The number 53436
53436 is a composite number with 24 divisors. Its prime factorisation is × 3 × 61 × 73. Divisors (24): 1, 2, 3, 4, 6, 12, 61, 73, 122, 146, 183, 219, 244, 292, 366, 438 … 53436.
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How to work it out
- 1
53436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53436 is composite. Its prime factorisation is
- 3
The divisors add up to 128464; without 53436 itself that is 75028, so 53436 is abundant (75028 is more than 53436). Euler's totient φ(53436) = 17280 numbers up to 53436 share no factor with it.
- 4
The digits of 53436 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53436 = 2^{2} \times 3 \times 61 \times 73 \]53436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 128464 |
| Euler totient φ(n) | 17280 |
| Square | 2855406096 |
| Cube | 152581480145856 |
| Square root | 231.162281 (= 2√13359) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3436 × |
53436 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and thirty-six |
| Binary (base 2) | 1101000010111100 |
| Octal (base 8) | 150274 |
| Hexadecimal (base 16) | D0BC |
| Base 3 | 2201022010 |
| As time | 53436 seconds = 14 h 50 min 36 s |
Is 53436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53436 ÷ 2 = 26718) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53436 ÷ 3 = 17812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53436 ÷ 4 = 13359) | 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 (53436 ÷ 6 = 8906) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53436 ÷ 12 = 4453) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53436 a prime number?
No. 53436 = × 3 × 61 × 73, so it is divisible by 2.
What are the factors of 53436?
1, 2, 3, 4, 6, 12, 61, 73, 122, 146, 183, 219, 244, 292, 366, 438, 732, 876, 4453, 8906, 13359, 17812, 26718, 53436.
What is 53436 in binary?
1101000010111100 (hexadecimal D0BC, octal 150274).
What is the square root of 53436?
About 231.1623, exactly 2√13359.
Is 53436 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53436?
It is a composite number with 24 divisors.