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The number 46343

46343 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 383. Divisors (6): 1, 11, 121, 383, 4213, 46343.

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How to work it out

  1. 1

    What is special about 46343: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    46343 is composite. Its prime factorisation is

    46343=112Ɨ38346343 = 11^{2} \times 383
  3. 3

    The divisors add up to 51072; without 46343 itself that is 4729, so 46343 is deficient (4729 is less than 46343). Euler's totient φ(46343) = 42020 numbers up to 46343 share no factor with it.

  4. 4

    The digits of 46343 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46343 = 11^{2} \times 383 \]

46343 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors51072
Euler totient φ(n)42020
Square2147673649
Cube99529639915607
Square root215.274244 (= 11√383)
Digit sum / digital root20 / 2
Collatz steps to 1163
Scientific notation4.6343 Ɨ 10410^{4}

46343 in other forms

FormValue
In wordsforty-six thousand three hundred and forty-three
Binary (base 2)1011010100000111
Octal (base 8)132407
Hexadecimal (base 16)B507
Base 32100120102
As time46343 seconds = 12 h 52 min 23 s

Is 46343 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).
3No (remainder 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8No (remainder 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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.
11Yes (46343 Ć· 11 = 4213)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 46343 a prime number?

No. 46343 = 11211^{2} Ɨ 383, so it is divisible by 11.

What are the factors of 46343?

1, 11, 121, 383, 4213, 46343.

What is 46343 in binary?

1011010100000111 (hexadecimal B507, octal 132407).

What is the square root of 46343?

About 215.2742, exactly 11√383.

Is 46343 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 46343?

46343 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    46343: is it prime? Factors, square root, binary, Roman numeral | WordGPT