The number 53708
53708 is a composite number with 12 divisors. Its prime factorisation is × 29 × 463. Divisors (12): 1, 2, 4, 29, 58, 116, 463, 926, 1852, 13427, 26854, 53708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53708 is composite. Its prime factorisation is
- 3
The divisors add up to 97440; without 53708 itself that is 43732, so 53708 is deficient (43732 is less than 53708). Euler's totient φ(53708) = 25872 numbers up to 53708 share no factor with it.
- 4
The digits of 53708 add up to 23, 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
\[ 53708 = 2^{2} \times 29 \times 463 \]53708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 97440 |
| Euler totient φ(n) | 25872 |
| Square | 2884549264 |
| Cube | 154923371870912 |
| Square root | 231.749865 (= 2√13427) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3708 × |
53708 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and eight |
| Binary (base 2) | 1101000111001100 |
| Octal (base 8) | 150714 |
| Hexadecimal (base 16) | D1CC |
| Base 3 | 2201200012 |
| As time | 53708 seconds = 14 h 55 min 8 s |
Is 53708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53708 ÷ 2 = 26854) | 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 (53708 ÷ 4 = 13427) | 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 2) | 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 | No (remainder 4) | 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 | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53708 a prime number?
No. 53708 = × 29 × 463, so it is divisible by 2.
What are the factors of 53708?
1, 2, 4, 29, 58, 116, 463, 926, 1852, 13427, 26854, 53708.
What is 53708 in binary?
1101000111001100 (hexadecimal D1CC, octal 150714).
What is the square root of 53708?
About 231.7499, exactly 2√13427.
Is 53708 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53708?
It is a composite number with 12 divisors.