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The number 43463

43463 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 887. Divisors (6): 1, 7, 49, 887, 6209, 43463.

Number

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How to work it out

  1. 1

    What is special about 43463: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    43463 is composite. Its prime factorisation is

    43463=72Ɨ88743463 = 7^{2} \times 887
  3. 3

    The divisors add up to 50616; without 43463 itself that is 7153, so 43463 is deficient (7153 is less than 43463). Euler's totient φ(43463) = 37212 numbers up to 43463 share no factor with it.

  4. 4

    The digits of 43463 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 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 43463 = 7^{2} \times 887 \]

43463 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors50616
Euler totient φ(n)37212
Square1889032369
Cube82103013853847
Square root208.477817 (= 7√887)
Digit sum / digital root20 / 2
Collatz steps to 1106
Scientific notation4.3463 Ɨ 10410^{4}

43463 in other forms

FormValue
In wordsforty-three thousand four hundred and sixty-three
Binary (base 2)1010100111000111
Octal (base 8)124707
Hexadecimal (base 16)A9C7
Base 32012121202
As time43463 seconds = 12 h 4 min 23 s

Is 43463 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.
7Yes (43463 Ć· 7 = 6209)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.
11No (remainder 2)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 43463 a prime number?

No. 43463 = 727^{2} Ɨ 887, so it is divisible by 7.

What are the factors of 43463?

1, 7, 49, 887, 6209, 43463.

What is 43463 in binary?

1010100111000111 (hexadecimal A9C7, octal 124707).

What is the square root of 43463?

About 208.4778, exactly 7√887.

Is 43463 divisible by 3?

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

What is special about the number 43463?

43463 is a happy number: repeatedly adding the squares of its digits reaches 1.

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