The number 53704
53704 is a composite number with 24 divisors. Its prime factorisation is × × 137. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 137, 196, 274, 392, 548, 959 … 53704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53704 is composite. Its prime factorisation is
- 3
The divisors add up to 117990; without 53704 itself that is 64286, so 53704 is abundant (64286 is more than 53704). Euler's totient φ(53704) = 22848 numbers up to 53704 share no factor with it.
- 4
The digits of 53704 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53704 = 2^{3} \times 7^{2} \times 137 \]53704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117990 |
| Euler totient φ(n) | 22848 |
| Square | 2884119616 |
| Cube | 154888759857664 |
| Square root | 231.741235 (= 14√274) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3704 × |
53704 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and four |
| Binary (base 2) | 1101000111001000 |
| Octal (base 8) | 150710 |
| Hexadecimal (base 16) | D1C8 |
| Base 3 | 2201200001 |
| As time | 53704 seconds = 14 h 55 min 4 s |
Is 53704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53704 ÷ 2 = 26852) | 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 (53704 ÷ 4 = 13426) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53704 ÷ 7 = 7672) | 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 (53704 ÷ 8 = 6713) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 53704 a prime number?
No. 53704 = × × 137, so it is divisible by 2.
What are the factors of 53704?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 137, 196, 274, 392, 548, 959, 1096, 1918, 3836, 6713, 7672, 13426, 26852, 53704.
What is 53704 in binary?
1101000111001000 (hexadecimal D1C8, octal 150710).
What is the square root of 53704?
About 231.7412, exactly 14√274.
Is 53704 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53704?
It is a composite number with 24 divisors.