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The number 48055

48055 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 1373. Divisors (8): 1, 5, 7, 35, 1373, 6865, 9611, 48055.

Number

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How to work it out

  1. 1

    What is special about 48055: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    48055 is composite. Its prime factorisation is

    48055=5×7×137348055 = 5 \times 7 \times 1373
  3. 3

    The divisors add up to 65952; without 48055 itself that is 17897, so 48055 is deficient (17897 is less than 48055). Euler's totient φ(48055) = 32928 numbers up to 48055 share no factor with it.

  4. 4

    The digits of 48055 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 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48055 = 5 \times 7 \times 1373 \]

48055 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65952
Euler totient φ(n)32928
Square2309283025
Cube110972595766375
Square root219.214507
Digit sum / digital root22 / 4
Collatz steps to 144
Scientific notation4.8055 × 10410^{4}

48055 in other forms

FormValue
In wordsforty-eight thousand and fifty-five
Binary (base 2)1011101110110111
Octal (base 8)135667
Hexadecimal (base 16)BBB7
Base 32102220211
As time48055 seconds = 13 h 20 min 55 s

Is 48055 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.
5Yes (48055 ÷ 5 = 9611)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 (48055 ÷ 7 = 6865)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 7)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 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 48055 a prime number?

No. 48055 = 5 × 7 × 1373, so it is divisible by 5.

What are the factors of 48055?

1, 5, 7, 35, 1373, 6865, 9611, 48055.

What is 48055 in binary?

1011101110110111 (hexadecimal BBB7, octal 135667).

What is the square root of 48055?

About 219.2145.

Is 48055 divisible by 3?

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

What is special about the number 48055?

48055 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    48055: is it prime? Factors, square root, binary, Roman numeral | WordGPT