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The number 55587

55587 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2647. Divisors (8): 1, 3, 7, 21, 2647, 7941, 18529, 55587.

Number

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How to work it out

  1. 1

    What is special about 55587: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55587 is composite. Its prime factorisation is

    55587=3×7×264755587 = 3 \times 7 \times 2647
  3. 3

    The divisors add up to 84736; without 55587 itself that is 29149, so 55587 is deficient (29149 is less than 55587). Euler's totient φ(55587) = 31752 numbers up to 55587 share no factor with it.

  4. 4

    The digits of 55587 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55587 = 3 \times 7 \times 2647 \]

55587 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors84736
Euler totient φ(n)31752
Square3089914569
Cube171759081147003
Square root235.768955
Digit sum / digital root30 / 3
Collatz steps to 1140
Scientific notation5.5587 × 10410^{4}

55587 in other forms

FormValue
In wordsfifty-five thousand five hundred and eighty-seven
Binary (base 2)1101100100100011
Octal (base 8)154443
Hexadecimal (base 16)D923
Base 32211020210
As time55587 seconds = 15 h 26 min 27 s

Is 55587 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).
3Yes (55587 ÷ 3 = 18529)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (55587 ÷ 7 = 7941)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55587 a prime number?

No. 55587 = 3 × 7 × 2647, so it is divisible by 3.

What are the factors of 55587?

1, 3, 7, 21, 2647, 7941, 18529, 55587.

What is 55587 in binary?

1101100100100011 (hexadecimal D923, octal 154443).

What is the square root of 55587?

About 235.7690.

Is 55587 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 55587?

55587 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    55587: is it prime? Factors, square root, binary, Roman numeral | WordGPT