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The number 55027

55027 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1123. Divisors (6): 1, 7, 49, 1123, 7861, 55027.

Number

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How to work it out

  1. 1

    What is special about 55027: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55027 is composite. Its prime factorisation is

    55027=72Ɨ112355027 = 7^{2} \times 1123
  3. 3

    The divisors add up to 64068; without 55027 itself that is 9041, so 55027 is deficient (9041 is less than 55027). Euler's totient φ(55027) = 47124 numbers up to 55027 share no factor with it.

  4. 4

    The digits of 55027 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55027 = 7^{2} \times 1123 \]

55027 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors64068
Euler totient φ(n)47124
Square3027970729
Cube166620145304683
Square root234.578345 (= 7√1123)
Digit sum / digital root19 / 1
Collatz steps to 1184
Scientific notation5.5027 Ɨ 10410^{4}

55027 in other forms

FormValue
In wordsfifty-five thousand and twenty-seven
Binary (base 2)1101011011110011
Octal (base 8)153363
Hexadecimal (base 16)D6F3
Base 32210111001
As time55027 seconds = 15 h 17 min 7 s

Is 55027 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 2)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 (55027 Ć· 7 = 7861)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 1)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 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 55027 a prime number?

No. 55027 = 727^{2} Ɨ 1123, so it is divisible by 7.

What are the factors of 55027?

1, 7, 49, 1123, 7861, 55027.

What is 55027 in binary?

1101011011110011 (hexadecimal D6F3, octal 153363).

What is the square root of 55027?

About 234.5783, exactly 7√1123.

Is 55027 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 55027?

55027 is a happy number: repeatedly adding the squares of its digits reaches 1.

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