The number 53488
53488 is a composite number with 10 divisors. Its prime factorisation is × 3343. Divisors (10): 1, 2, 4, 8, 16, 3343, 6686, 13372, 26744, 53488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53488 is composite. Its prime factorisation is
- 3
The divisors add up to 103664; without 53488 itself that is 50176, so 53488 is deficient (50176 is less than 53488). Euler's totient φ(53488) = 26736 numbers up to 53488 share no factor with it.
- 4
The digits of 53488 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53488 = 2^{4} \times 3343 \]53488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 103664 |
| Euler totient φ(n) | 26736 |
| Square | 2860966144 |
| Cube | 153027357110272 |
| Square root | 231.274728 (= 4√3343) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3488 × |
53488 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and eighty-eight |
| Binary (base 2) | 1101000011110000 |
| Octal (base 8) | 150360 |
| Hexadecimal (base 16) | D0F0 |
| Base 3 | 2201101001 |
| As time | 53488 seconds = 14 h 51 min 28 s |
Is 53488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53488 ÷ 2 = 26744) | 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 (53488 ÷ 4 = 13372) | 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 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 (53488 ÷ 8 = 6686) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 6) | 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 53488 a prime number?
No. 53488 = × 3343, so it is divisible by 2.
What are the factors of 53488?
1, 2, 4, 8, 16, 3343, 6686, 13372, 26744, 53488.
What is 53488 in binary?
1101000011110000 (hexadecimal D0F0, octal 150360).
What is the square root of 53488?
About 231.2747, exactly 4√3343.
Is 53488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 53488?
It is a composite number with 10 divisors.