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The number 24055

24055 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 283. Divisors (8): 1, 5, 17, 85, 283, 1415, 4811, 24055.

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How to work it out

  1. 1

    What is special about 24055: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    24055 is composite. Its prime factorisation is

    24055=5×17×28324055 = 5 \times 17 \times 283
  3. 3

    The divisors add up to 30672; without 24055 itself that is 6617, so 24055 is deficient (6617 is less than 24055). Euler's totient φ(24055) = 18048 numbers up to 24055 share no factor with it.

  4. 4

    The digits of 24055 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24055 = 5 \times 17 \times 283 \]

24055 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors30672
Euler totient φ(n)18048
Square578643025
Cube13919257966375
Square root155.096744
Digit sum / digital root16 / 7
Collatz steps to 1144
Scientific notation2.4055 × 10410^{4}

24055 in other forms

FormValue
In wordstwenty-four thousand and fifty-five
Binary (base 2)101110111110111
Octal (base 8)56767
Hexadecimal (base 16)5DF7
Base 31012222221
As time24055 seconds = 6 h 40 min 55 s

Is 24055 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 (24055 ÷ 5 = 4811)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.
7No (remainder 3)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 7)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 9)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 24055 a prime number?

No. 24055 = 5 × 17 × 283, so it is divisible by 5.

What are the factors of 24055?

1, 5, 17, 85, 283, 1415, 4811, 24055.

What is 24055 in binary?

101110111110111 (hexadecimal 5DF7, octal 56767).

What is the square root of 24055?

About 155.0967.

Is 24055 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 24055?

24055 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    24055: is it prime? Factors, square root, binary, Roman numeral | WordGPT