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The number 55438

55438 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 523. Divisors (8): 1, 2, 53, 106, 523, 1046, 27719, 55438.

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How to work it out

  1. 1

    What is special about 55438: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    55438 is composite. Its prime factorisation is

    55438=2×53×52355438 = 2 \times 53 \times 523
  3. 3

    The divisors add up to 84888; without 55438 itself that is 29450, so 55438 is deficient (29450 is less than 55438). Euler's totient φ(55438) = 27144 numbers up to 55438 share no factor with it.

  4. 4

    The digits of 55438 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 55438 = 2 \times 53 \times 523 \]

55438 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors84888
Euler totient φ(n)27144
Square3073371844
Cube170381588287672
Square root235.452755
Digit sum / digital root25 / 7
Collatz steps to 191
Scientific notation5.5438 × 10410^{4}

55438 in other forms

FormValue
In wordsfifty-five thousand four hundred and thirty-eight
Binary (base 2)1101100010001110
Octal (base 8)154216
Hexadecimal (base 16)D88E
Base 32211001021
As time55438 seconds = 15 h 23 min 58 s

Is 55438 divisible by 2 to 12?

DivisorAnswerRule
2Yes (55438 ÷ 2 = 27719)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 3)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 5)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 55438 a prime number?

No. 55438 = 2 × 53 × 523, so it is divisible by 2.

What are the factors of 55438?

1, 2, 53, 106, 523, 1046, 27719, 55438.

What is 55438 in binary?

1101100010001110 (hexadecimal D88E, octal 154216).

What is the square root of 55438?

About 235.4528.

Is 55438 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 55438?

55438 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    55438: is it prime? Factors, square root, binary, Roman numeral | WordGPT