The number 53872
53872 is a composite number with 40 divisors. Its prime factorisation is × 7 × 13 × 37. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 37, 52, 56, 74, 91, 104 … 53872.
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How to work it out
- 1
53872 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53872 is composite. Its prime factorisation is
- 3
The divisors add up to 131936; without 53872 itself that is 78064, so 53872 is abundant (78064 is more than 53872). Euler's totient φ(53872) = 20736 numbers up to 53872 share no factor with it.
- 4
The digits of 53872 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53872 = 2^{4} \times 7 \times 13 \times 37 \]53872 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 131936 |
| Euler totient φ(n) | 20736 |
| Square | 2902192384 |
| Cube | 156346908110848 |
| Square root | 232.103425 (= 4√3367) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3872 × |
53872 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and seventy-two |
| Binary (base 2) | 1101001001110000 |
| Octal (base 8) | 151160 |
| Hexadecimal (base 16) | D270 |
| Base 3 | 2201220021 |
| As time | 53872 seconds = 14 h 57 min 52 s |
Is 53872 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53872 ÷ 2 = 26936) | 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 (53872 ÷ 4 = 13468) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53872 ÷ 7 = 7696) | 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 (53872 ÷ 8 = 6734) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 53872 a prime number?
No. 53872 = × 7 × 13 × 37, so it is divisible by 2.
What are the factors of 53872?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 37, 52, 56, 74, 91, 104, 112, 148, 182, 208, 259, 296, 364, 481, 518, 592, 728, 962, 1036, 1456, 1924, 2072, 3367, 3848, 4144, 6734, 7696, 13468, 26936, 53872.
What is 53872 in binary?
1101001001110000 (hexadecimal D270, octal 151160).
What is the square root of 53872?
About 232.1034, exactly 4√3367.
Is 53872 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53872?
It is a composite number with 40 divisors.