The number 54131
54131 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 19 × 37. Divisors (16): 1, 7, 11, 19, 37, 77, 133, 209, 259, 407, 703, 1463, 2849, 4921, 7733, 54131.
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How to work it out
- 1
54131 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
54131 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 54131 itself that is 18829, so 54131 is deficient (18829 is less than 54131). Euler's totient φ(54131) = 38880 numbers up to 54131 share no factor with it.
- 4
The digits of 54131 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54131 = 7 \times 11 \times 19 \times 37 \]
54131 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 38880 |
| Square | 2930165161 |
| Cube | 158612770330091 |
| Square root | 232.660697 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 5.4131 × |
54131 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand one hundred and thirty-one |
| Binary (base 2) | 1101001101110011 |
| Octal (base 8) | 151563 |
| Hexadecimal (base 16) | D373 |
| Base 3 | 2202020212 |
| As time | 54131 seconds = 15 h 2 min 11 s |
Is 54131 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54131 ÷ 7 = 7733) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (54131 ÷ 11 = 4921) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 54131 a prime number?
No. 54131 = 7 × 11 × 19 × 37, so it is divisible by 7.
What are the factors of 54131?
1, 7, 11, 19, 37, 77, 133, 209, 259, 407, 703, 1463, 2849, 4921, 7733, 54131.
What is 54131 in binary?
1101001101110011 (hexadecimal D373, octal 151563).
What is the square root of 54131?
About 232.6607.
Is 54131 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 54131?
It is a composite number with 16 divisors.