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The number 47468

47468 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11867. Divisors (6): 1, 2, 4, 11867, 23734, 47468.

Number

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How to work it out

  1. 1

    47468 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

    47468 is composite. Its prime factorisation is

    47468=22×1186747468 = 2^{2} \times 11867
  3. 3

    The divisors add up to 83076; without 47468 itself that is 35608, so 47468 is deficient (35608 is less than 47468). Euler's totient φ(47468) = 23732 numbers up to 47468 share no factor with it.

  4. 4

    The digits of 47468 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47468 = 2^{2} \times 11867 \]

47468 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors83076
Euler totient φ(n)23732
Square2253211024
Cube106955420887232
Square root217.871522 (= 2√11867)
Digit sum / digital root29 / 2
Collatz steps to 175
Scientific notation4.7468 × 10410^{4}

47468 in other forms

FormValue
In wordsforty-seven thousand four hundred and sixty-eight
Binary (base 2)1011100101101100
Octal (base 8)134554
Hexadecimal (base 16)B96C
Base 32102010002
As time47468 seconds = 13 h 11 min 8 s

Is 47468 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47468 ÷ 2 = 23734)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.
4Yes (47468 ÷ 4 = 11867)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47468 a prime number?

No. 47468 = 222^{2} × 11867, so it is divisible by 2.

What are the factors of 47468?

1, 2, 4, 11867, 23734, 47468.

What is 47468 in binary?

1011100101101100 (hexadecimal B96C, octal 134554).

What is the square root of 47468?

About 217.8715, exactly 2√11867.

Is 47468 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 47468?

It is a composite number with 6 divisors.

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    47468: is it prime? Factors, square root, binary, Roman numeral | WordGPT