The number 53600
53600 is a composite number with 36 divisors. Its prime factorisation is × × 67. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 67, 80, 100, 134 … 53600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53600: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53600 is composite. Its prime factorisation is
- 3
The divisors add up to 132804; without 53600 itself that is 79204, so 53600 is abundant (79204 is more than 53600). Euler's totient φ(53600) = 21120 numbers up to 53600 share no factor with it.
- 4
The digits of 53600 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53600 = 2^{5} \times 5^{2} \times 67 \]53600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 132804 |
| Euler totient φ(n) | 21120 |
| Square | 2872960000 |
| Cube | 153990656000000 |
| Square root | 231.516738 (= 20√134) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.36 × |
53600 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred |
| Binary (base 2) | 1101000101100000 |
| Octal (base 8) | 150540 |
| Hexadecimal (base 16) | D160 |
| Base 3 | 2201112012 |
| As time | 53600 seconds = 14 h 53 min 20 s |
Is 53600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53600 ÷ 2 = 26800) | 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 (53600 ÷ 4 = 13400) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53600 ÷ 5 = 10720) | 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 1) | 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 (53600 ÷ 8 = 6700) | 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 | Yes (53600 ÷ 10 = 5360) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 53600 a prime number?
No. 53600 = × × 67, so it is divisible by 2.
What are the factors of 53600?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 67, 80, 100, 134, 160, 200, 268, 335, 400, 536, 670, 800, 1072, 1340, 1675, 2144, 2680, 3350, 5360, 6700, 10720, 13400, 26800, 53600.
What is 53600 in binary?
1101000101100000 (hexadecimal D160, octal 150540).
What is the square root of 53600?
About 231.5167, exactly 20√134.
Is 53600 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 53600?
53600 is a happy number: repeatedly adding the squares of its digits reaches 1.