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The number 55850

55850 is a composite number with 12 divisors. Its prime factorisation is 2 × 525^{2} × 1117. Divisors (12): 1, 2, 5, 10, 25, 50, 1117, 2234, 5585, 11170, 27925, 55850.

Number

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How to work it out

  1. 1

    What is special about 55850: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55850 is composite. Its prime factorisation is

    55850=2×52×111755850 = 2 \times 5^{2} \times 1117
  3. 3

    The divisors add up to 103974; without 55850 itself that is 48124, so 55850 is deficient (48124 is less than 55850). Euler's totient φ(55850) = 22320 numbers up to 55850 share no factor with it.

  4. 4

    The digits of 55850 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55850 = 2 \times 5^{2} \times 1117 \]

55850 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors103974
Euler totient φ(n)22320
Square3119222500
Cube174208576625000
Square root236.326046 (= 5√2234)
Digit sum / digital root23 / 5
Collatz steps to 1153
Scientific notation5.585 × 10410^{4}

55850 in other forms

FormValue
In wordsfifty-five thousand eight hundred and fifty
Binary (base 2)1101101000101010
Octal (base 8)155052
Hexadecimal (base 16)DA2A
Base 32211121112
As time55850 seconds = 15 h 30 min 50 s

Is 55850 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55850 ÷ 2 = 27925)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (55850 ÷ 5 = 11170)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (55850 ÷ 10 = 5585)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55850 a prime number?

No. 55850 = 2 × 525^{2} × 1117, so it is divisible by 2.

What are the factors of 55850?

1, 2, 5, 10, 25, 50, 1117, 2234, 5585, 11170, 27925, 55850.

What is 55850 in binary?

1101101000101010 (hexadecimal DA2A, octal 155052).

What is the square root of 55850?

About 236.3260, exactly 5√2234.

Is 55850 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 55850?

55850 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    55850: is it prime? Factors, square root, binary, Roman numeral | WordGPT