The number 53672
53672 is a composite number with 8 divisors. Its prime factorisation is × 6709. Divisors (8): 1, 2, 4, 8, 6709, 13418, 26836, 53672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53672 is composite. Its prime factorisation is
- 3
The divisors add up to 100650; without 53672 itself that is 46978, so 53672 is deficient (46978 is less than 53672). Euler's totient φ(53672) = 26832 numbers up to 53672 share no factor with it.
- 4
The digits of 53672 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53672 = 2^{3} \times 6709 \]53672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 100650 |
| Euler totient φ(n) | 26832 |
| Square | 2880683584 |
| Cube | 154612049320448 |
| Square root | 231.672182 (= 2√13418) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3672 × |
53672 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand six hundred and seventy-two |
| Binary (base 2) | 1101000110101000 |
| Octal (base 8) | 150650 |
| Hexadecimal (base 16) | D1A8 |
| Base 3 | 2201121212 |
| As time | 53672 seconds = 14 h 54 min 32 s |
Is 53672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53672 ÷ 2 = 26836) | 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 (53672 ÷ 4 = 13418) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 (53672 ÷ 8 = 6709) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 53672 a prime number?
No. 53672 = × 6709, so it is divisible by 2.
What are the factors of 53672?
1, 2, 4, 8, 6709, 13418, 26836, 53672.
What is 53672 in binary?
1101000110101000 (hexadecimal D1A8, octal 150650).
What is the square root of 53672?
About 231.6722, exactly 2√13418.
Is 53672 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53672?
It is a composite number with 8 divisors.