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The number 46143

46143 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1709. Divisors (8): 1, 3, 9, 27, 1709, 5127, 15381, 46143.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    46143 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    46143 is composite. Its prime factorisation is

    46143=33×170946143 = 3^{3} \times 1709
  3. 3

    The divisors add up to 68400; without 46143 itself that is 22257, so 46143 is deficient (22257 is less than 46143). Euler's totient φ(46143) = 30744 numbers up to 46143 share no factor with it.

  4. 4

    The digits of 46143 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46143 = 3^{3} \times 1709 \]

46143 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors68400
Euler totient φ(n)30744
Square2129176449
Cube98246588886207
Square root214.809218 (= 3√5127)
Digit sum / digital root18 / 9
Collatz steps to 1114
Scientific notation4.6143 × 10410^{4}

46143 in other forms

FormValue
In wordsforty-six thousand one hundred and forty-three
Binary (base 2)1011010000111111
Octal (base 8)132077
Hexadecimal (base 16)B43F
Base 32100022000
As time46143 seconds = 12 h 49 min 3 s

Is 46143 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (46143 ÷ 3 = 15381)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (46143 ÷ 9 = 5127)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46143 a prime number?

No. 46143 = 333^{3} × 1709, so it is divisible by 3.

What are the factors of 46143?

1, 3, 9, 27, 1709, 5127, 15381, 46143.

What is 46143 in binary?

1011010000111111 (hexadecimal B43F, octal 132077).

What is the square root of 46143?

About 214.8092, exactly 3√5127.

Is 46143 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 46143?

It is a composite number with 8 divisors.

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    46143: is it prime? Factors, square root, binary, Roman numeral | WordGPT