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The number 52559

52559 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 311. Divisors (6): 1, 13, 169, 311, 4043, 52559.

Number

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How to work it out

  1. 1

    52559 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

    52559 is composite. Its prime factorisation is

    52559=132Ɨ31152559 = 13^{2} \times 311
  3. 3

    The divisors add up to 57096; without 52559 itself that is 4537, so 52559 is deficient (4537 is less than 52559). Euler's totient φ(52559) = 48360 numbers up to 52559 share no factor with it.

  4. 4

    The digits of 52559 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 78 steps to reach 1.

LaTeX source of the formulas on this page
\[ 52559 = 13^{2} \times 311 \]

52559 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors57096
Euler totient φ(n)48360
Square2762448481
Cube145191529712879
Square root229.257497 (= 13√311)
Digit sum / digital root26 / 8
Collatz steps to 178
Scientific notation5.2559 Ɨ 10410^{4}

52559 in other forms

FormValue
In wordsfifty-two thousand five hundred and fifty-nine
Binary (base 2)1100110101001111
Octal (base 8)146517
Hexadecimal (base 16)CD4F
Base 32200002122
As time52559 seconds = 14 h 35 min 59 s

Is 52559 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 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 5)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 7)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 9)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 52559 a prime number?

No. 52559 = 13213^{2} Ɨ 311, so it is divisible by 13.

What are the factors of 52559?

1, 13, 169, 311, 4043, 52559.

What is 52559 in binary?

1100110101001111 (hexadecimal CD4F, octal 146517).

What is the square root of 52559?

About 229.2575, exactly 13√311.

Is 52559 divisible by 3?

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

What is special about the number 52559?

It is a composite number with 6 divisors.

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    52559: is it prime? Factors, square root, binary, Roman numeral | WordGPT