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The number 47276

47276 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 53 × 223. Divisors (12): 1, 2, 4, 53, 106, 212, 223, 446, 892, 11819, 23638, 47276.

Number

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How to work it out

  1. 1

    47276 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

    47276 is composite. Its prime factorisation is

    47276=22×53×22347276 = 2^{2} \times 53 \times 223
  3. 3

    The divisors add up to 84672; without 47276 itself that is 37396, so 47276 is deficient (37396 is less than 47276). Euler's totient φ(47276) = 23088 numbers up to 47276 share no factor with it.

  4. 4

    The digits of 47276 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47276 = 2^{2} \times 53 \times 223 \]

47276 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors84672
Euler totient φ(n)23088
Square2235020176
Cube105662813840576
Square root217.430449 (= 2√11819)
Digit sum / digital root26 / 8
Collatz steps to 1145
Scientific notation4.7276 × 10410^{4}

47276 in other forms

FormValue
In wordsforty-seven thousand two hundred and seventy-six
Binary (base 2)1011100010101100
Octal (base 8)134254
Hexadecimal (base 16)B8AC
Base 32101211222
As time47276 seconds = 13 h 7 min 56 s

Is 47276 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47276 ÷ 2 = 23638)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 (47276 ÷ 4 = 11819)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 5)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47276 a prime number?

No. 47276 = 222^{2} × 53 × 223, so it is divisible by 2.

What are the factors of 47276?

1, 2, 4, 53, 106, 212, 223, 446, 892, 11819, 23638, 47276.

What is 47276 in binary?

1011100010101100 (hexadecimal B8AC, octal 134254).

What is the square root of 47276?

About 217.4304, exactly 2√11819.

Is 47276 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 47276?

It is a composite number with 12 divisors.

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    47276: is it prime? Factors, square root, binary, Roman numeral | WordGPT