The number 53144
53144 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 73. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 73, 91, 104, 146, 182 … 53144.
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How to work it out
- 1
53144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53144 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 53144 itself that is 71176, so 53144 is abundant (71176 is more than 53144). Euler's totient φ(53144) = 20736 numbers up to 53144 share no factor with it.
- 4
The digits of 53144 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53144 = 2^{3} \times 7 \times 13 \times 73 \]53144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 20736 |
| Square | 2824284736 |
| Cube | 150093788009984 |
| Square root | 230.529825 (= 2√13286) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.3144 × |
53144 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand one hundred and forty-four |
| Binary (base 2) | 1100111110011000 |
| Octal (base 8) | 147630 |
| Hexadecimal (base 16) | CF98 |
| Base 3 | 2200220022 |
| As time | 53144 seconds = 14 h 45 min 44 s |
Is 53144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53144 ÷ 2 = 26572) | 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 (53144 ÷ 4 = 13286) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (53144 ÷ 7 = 7592) | 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 (53144 ÷ 8 = 6643) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 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 53144 a prime number?
No. 53144 = × 7 × 13 × 73, so it is divisible by 2.
What are the factors of 53144?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 73, 91, 104, 146, 182, 292, 364, 511, 584, 728, 949, 1022, 1898, 2044, 3796, 4088, 6643, 7592, 13286, 26572, 53144.
What is 53144 in binary?
1100111110011000 (hexadecimal CF98, octal 147630).
What is the square root of 53144?
About 230.5298, exactly 2√13286.
Is 53144 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 53144?
It is a composite number with 32 divisors.