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The number 47708

47708 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 11927. Divisors (6): 1, 2, 4, 11927, 23854, 47708.

Number

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How to work it out

  1. 1

    47708 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

    47708 is composite. Its prime factorisation is

    47708=22×1192747708 = 2^{2} \times 11927
  3. 3

    The divisors add up to 83496; without 47708 itself that is 35788, so 47708 is deficient (35788 is less than 47708). Euler's totient φ(47708) = 23852 numbers up to 47708 share no factor with it.

  4. 4

    The digits of 47708 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 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47708 = 2^{2} \times 11927 \]

47708 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors83496
Euler totient φ(n)23852
Square2276053264
Cube108585949118912
Square root218.421611 (= 2√11927)
Digit sum / digital root26 / 8
Collatz steps to 152
Scientific notation4.7708 × 10410^{4}

47708 in other forms

FormValue
In wordsforty-seven thousand seven hundred and eight
Binary (base 2)1011101001011100
Octal (base 8)135134
Hexadecimal (base 16)BA5C
Base 32102102222
As time47708 seconds = 13 h 15 min 8 s

Is 47708 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47708 ÷ 2 = 23854)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 (47708 ÷ 4 = 11927)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 3)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 47708 a prime number?

No. 47708 = 222^{2} × 11927, so it is divisible by 2.

What are the factors of 47708?

1, 2, 4, 11927, 23854, 47708.

What is 47708 in binary?

1011101001011100 (hexadecimal BA5C, octal 135134).

What is the square root of 47708?

About 218.4216, exactly 2√11927.

Is 47708 divisible by 3?

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

What is special about the number 47708?

It is a composite number with 6 divisors.

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    47708: is it prime? Factors, square root, binary, Roman numeral | WordGPT