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The number 5047

5047 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 103. Divisors (6): 1, 7, 49, 103, 721, 5047.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    5047 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

    5047 is composite. Its prime factorisation is

    5047=72Ɨ1035047 = 7^{2} \times 103
  3. 3

    The divisors add up to 5928; without 5047 itself that is 881, so 5047 is deficient (881 is less than 5047). Euler's totient φ(5047) = 4284 numbers up to 5047 share no factor with it.

  4. 4

    The digits of 5047 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5047 = 7^{2} \times 103 \]

5047 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors5928
Euler totient φ(n)4284
Square25472209
Cube128558238823
Square root71.042241 (= 7√103)
Digit sum / digital root16 / 7
Collatz steps to 1134
Scientific notation5.047 Ɨ 10310^{3}

5047 in other forms

FormValue
In wordsfive thousand and forty-seven
Binary (base 2)1001110110111
Octal (base 8)11667
Hexadecimal (base 16)13B7
Base 320220221
As time5047 seconds = 1 h 24 min 7 s

Is 5047 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 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (5047 Ć· 7 = 721)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 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5047 a prime number?

No. 5047 = 727^{2} Ɨ 103, so it is divisible by 7.

What are the factors of 5047?

1, 7, 49, 103, 721, 5047.

What is 5047 in binary?

1001110110111 (hexadecimal 13B7, octal 11667).

What is the square root of 5047?

About 71.0422, exactly 7√103.

Is 5047 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 5047?

It is a composite number with 6 divisors.

All about 5047

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    5047: is it prime? Factors, square root, binary, Roman numeral | WordGPT