The number 53548
53548 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1217. Divisors (12): 1, 2, 4, 11, 22, 44, 1217, 2434, 4868, 13387, 26774, 53548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53548: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53548 is composite. Its prime factorisation is
- 3
The divisors add up to 102312; without 53548 itself that is 48764, so 53548 is deficient (48764 is less than 53548). Euler's totient φ(53548) = 24320 numbers up to 53548 share no factor with it.
- 4
The digits of 53548 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53548 = 2^{2} \times 11 \times 1217 \]53548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102312 |
| Euler totient φ(n) | 24320 |
| Square | 2867388304 |
| Cube | 153542908902592 |
| Square root | 231.404408 (= 2√13387) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3548 × |
53548 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and forty-eight |
| Binary (base 2) | 1101000100101100 |
| Octal (base 8) | 150454 |
| Hexadecimal (base 16) | D12C |
| Base 3 | 2201110021 |
| As time | 53548 seconds = 14 h 52 min 28 s |
Is 53548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53548 ÷ 2 = 26774) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53548 ÷ 4 = 13387) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53548 ÷ 11 = 4868) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53548 a prime number?
No. 53548 = × 11 × 1217, so it is divisible by 2.
What are the factors of 53548?
1, 2, 4, 11, 22, 44, 1217, 2434, 4868, 13387, 26774, 53548.
What is 53548 in binary?
1101000100101100 (hexadecimal D12C, octal 150454).
What is the square root of 53548?
About 231.4044, exactly 2√13387.
Is 53548 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53548?
53548 is a happy number: repeatedly adding the squares of its digits reaches 1.