The number 53136
53136 is a composite number with 50 divisors. Its prime factorisation is × × 41. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 41, 48, 54 … 53136.
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How to work it out
- 1
What is special about 53136: a Harshad number: divisible by its digit sum 18.
- 2
53136 is composite. Its prime factorisation is
- 3
The divisors add up to 157542; without 53136 itself that is 104406, so 53136 is abundant (104406 is more than 53136). Euler's totient φ(53136) = 17280 numbers up to 53136 share no factor with it.
- 4
The digits of 53136 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53136 = 2^{4} \times 3^{4} \times 41 \]53136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 157542 |
| Euler totient φ(n) | 17280 |
| Square | 2823434496 |
| Cube | 150026015379456 |
| Square root | 230.512473 (= 36√41) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.3136 × |
53136 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and thirty-six |
| Binary (base 2) | 1100111110010000 |
| Octal (base 8) | 147620 |
| Hexadecimal (base 16) | CF90 |
| Base 3 | 2200220000 |
| As time | 53136 seconds = 14 h 45 min 36 s |
Is 53136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53136 ÷ 2 = 26568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53136 ÷ 3 = 17712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53136 ÷ 4 = 13284) | 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 (53136 ÷ 6 = 8856) | 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 | Yes (53136 ÷ 8 = 6642) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53136 ÷ 9 = 5904) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53136 ÷ 12 = 4428) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53136 a prime number?
No. 53136 = × × 41, so it is divisible by 2.
What are the factors of 53136?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 41, 48, 54, 72, 81, 82, 108, 123, 144, 162, 164, 216, 246, 324, 328, 369, 432, 492, 648, 656, 738, 984, 1107, 1296, 1476, 1968, 2214, 2952, 3321, 4428, 5904, 6642, 8856, 13284, 17712, 26568, 53136.
What is 53136 in binary?
1100111110010000 (hexadecimal CF90, octal 147620).
What is the square root of 53136?
About 230.5125, exactly 36√41.
Is 53136 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53136?
53136 is a Harshad number: divisible by its digit sum 18.