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The number 55066

55066 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2503. Divisors (8): 1, 2, 11, 22, 2503, 5006, 27533, 55066.

Number

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How to work it out

  1. 1

    What is special about 55066: a Harshad number: divisible by its digit sum 22.

  2. 2

    55066 is composite. Its prime factorisation is

    55066=2×11×250355066 = 2 \times 11 \times 2503
  3. 3

    The divisors add up to 90144; without 55066 itself that is 35078, so 55066 is deficient (35078 is less than 55066). Euler's totient φ(55066) = 25020 numbers up to 55066 share no factor with it.

  4. 4

    The digits of 55066 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55066 = 2 \times 11 \times 2503 \]

55066 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors90144
Euler totient φ(n)25020
Square3032264356
Cube166974669027496
Square root234.661458
Digit sum / digital root22 / 4
Collatz steps to 1109
Scientific notation5.5066 × 10410^{4}

55066 in other forms

FormValue
In wordsfifty-five thousand and sixty-six
Binary (base 2)1101011100011010
Octal (base 8)153432
Hexadecimal (base 16)D71A
Base 32210112111
As time55066 seconds = 15 h 17 min 46 s

Is 55066 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55066 ÷ 2 = 27533)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)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 6)A number is divisible by 10 if the last digit is 0.
11Yes (55066 ÷ 11 = 5006)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55066 a prime number?

No. 55066 = 2 × 11 × 2503, so it is divisible by 2.

What are the factors of 55066?

1, 2, 11, 22, 2503, 5006, 27533, 55066.

What is 55066 in binary?

1101011100011010 (hexadecimal D71A, octal 153432).

What is the square root of 55066?

About 234.6615.

Is 55066 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 55066?

55066 is a Harshad number: divisible by its digit sum 22.

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    55066: is it prime? Factors, square root, binary, Roman numeral | WordGPT