The number 53904
53904 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1123. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1123, 2246, 3369, 4492, 6738, 8984 … 53904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53904 is composite. Its prime factorisation is
- 3
The divisors add up to 139376; without 53904 itself that is 85472, so 53904 is abundant (85472 is more than 53904). Euler's totient φ(53904) = 17952 numbers up to 53904 share no factor with it.
- 4
The digits of 53904 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53904 = 2^{4} \times 3 \times 1123 \]53904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 139376 |
| Euler totient φ(n) | 17952 |
| Square | 2905641216 |
| Cube | 156625684107264 |
| Square root | 232.172350 (= 4√3369) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3904 × |
53904 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and four |
| Binary (base 2) | 1101001010010000 |
| Octal (base 8) | 151220 |
| Hexadecimal (base 16) | D290 |
| Base 3 | 2201221110 |
| As time | 53904 seconds = 14 h 58 min 24 s |
Is 53904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53904 ÷ 2 = 26952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53904 ÷ 3 = 17968) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53904 ÷ 4 = 13476) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53904 ÷ 6 = 8984) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (53904 ÷ 8 = 6738) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53904 ÷ 12 = 4492) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53904 a prime number?
No. 53904 = × 3 × 1123, so it is divisible by 2.
What are the factors of 53904?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1123, 2246, 3369, 4492, 6738, 8984, 13476, 17968, 26952, 53904.
What is 53904 in binary?
1101001010010000 (hexadecimal D290, octal 151220).
What is the square root of 53904?
About 232.1723, exactly 4√3369.
Is 53904 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53904?
It is a composite number with 20 divisors.