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The number 47765

47765 is a composite number with 8 divisors. Its prime factorisation is 5 × 41 × 233. Divisors (8): 1, 5, 41, 205, 233, 1165, 9553, 47765.

Number

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How to work it out

  1. 1

    47765 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

    47765 is composite. Its prime factorisation is

    47765=5×41×23347765 = 5 \times 41 \times 233
  3. 3

    The divisors add up to 58968; without 47765 itself that is 11203, so 47765 is deficient (11203 is less than 47765). Euler's totient φ(47765) = 37120 numbers up to 47765 share no factor with it.

  4. 4

    The digits of 47765 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 145 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47765 = 5 \times 41 \times 233 \]

47765 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors58968
Euler totient φ(n)37120
Square2281495225
Cube108975619422125
Square root218.552053
Digit sum / digital root29 / 2
Collatz steps to 1145
Scientific notation4.7765 × 10410^{4}

47765 in other forms

FormValue
In wordsforty-seven thousand seven hundred and sixty-five
Binary (base 2)1011101010010101
Octal (base 8)135225
Hexadecimal (base 16)BA95
Base 32102112002
As time47765 seconds = 13 h 16 min 5 s

Is 47765 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (47765 ÷ 5 = 9553)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 5)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 5)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47765 a prime number?

No. 47765 = 5 × 41 × 233, so it is divisible by 5.

What are the factors of 47765?

1, 5, 41, 205, 233, 1165, 9553, 47765.

What is 47765 in binary?

1011101010010101 (hexadecimal BA95, octal 135225).

What is the square root of 47765?

About 218.5521.

Is 47765 divisible by 3?

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

What is special about the number 47765?

It is a composite number with 8 divisors.

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