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The number 48559

48559 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 991. Divisors (6): 1, 7, 49, 991, 6937, 48559.

Number

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How to work it out

  1. 1

    48559 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

    48559 is composite. Its prime factorisation is

    48559=72Ɨ99148559 = 7^{2} \times 991
  3. 3

    The divisors add up to 56544; without 48559 itself that is 7985, so 48559 is deficient (7985 is less than 48559). Euler's totient φ(48559) = 41580 numbers up to 48559 share no factor with it.

  4. 4

    The digits of 48559 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48559 = 7^{2} \times 991 \]

48559 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors56544
Euler totient φ(n)41580
Square2357976481
Cube114500979940879
Square root220.361067 (= 7√991)
Digit sum / digital root31 / 4
Collatz steps to 1127
Scientific notation4.8559 Ɨ 10410^{4}

48559 in other forms

FormValue
In wordsforty-eight thousand five hundred and fifty-nine
Binary (base 2)1011110110101111
Octal (base 8)136657
Hexadecimal (base 16)BDAF
Base 32110121111
As time48559 seconds = 13 h 29 min 19 s

Is 48559 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 4)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 (48559 Ć· 7 = 6937)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 48559 a prime number?

No. 48559 = 727^{2} Ɨ 991, so it is divisible by 7.

What are the factors of 48559?

1, 7, 49, 991, 6937, 48559.

What is 48559 in binary?

1011110110101111 (hexadecimal BDAF, octal 136657).

What is the square root of 48559?

About 220.3611, exactly 7√991.

Is 48559 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 48559?

It is a composite number with 6 divisors.

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    48559: is it prime? Factors, square root, binary, Roman numeral | WordGPT