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The number 47716

47716 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 79 × 151. Divisors (12): 1, 2, 4, 79, 151, 158, 302, 316, 604, 11929, 23858, 47716.

Number

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How to work it out

  1. 1

    47716 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

    47716 is composite. Its prime factorisation is

    47716=22×79×15147716 = 2^{2} \times 79 \times 151
  3. 3

    The divisors add up to 85120; without 47716 itself that is 37404, so 47716 is deficient (37404 is less than 47716). Euler's totient φ(47716) = 23400 numbers up to 47716 share no factor with it.

  4. 4

    The digits of 47716 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47716 = 2^{2} \times 79 \times 151 \]

47716 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors85120
Euler totient φ(n)23400
Square2276816656
Cube108640583557696
Square root218.439923 (= 2√11929)
Digit sum / digital root25 / 7
Collatz steps to 1101
Scientific notation4.7716 × 10410^{4}

47716 in other forms

FormValue
In wordsforty-seven thousand seven hundred and sixteen
Binary (base 2)1011101001100100
Octal (base 8)135144
Hexadecimal (base 16)BA64
Base 32102110021
As time47716 seconds = 13 h 15 min 16 s

Is 47716 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47716 ÷ 2 = 23858)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (47716 ÷ 4 = 11929)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 7)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47716 a prime number?

No. 47716 = 222^{2} × 79 × 151, so it is divisible by 2.

What are the factors of 47716?

1, 2, 4, 79, 151, 158, 302, 316, 604, 11929, 23858, 47716.

What is 47716 in binary?

1011101001100100 (hexadecimal BA64, octal 135144).

What is the square root of 47716?

About 218.4399, exactly 2√11929.

Is 47716 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 47716?

It is a composite number with 12 divisors.

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    47716: is it prime? Factors, square root, binary, Roman numeral | WordGPT