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The number 24428

24428 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 31 × 197. Divisors (12): 1, 2, 4, 31, 62, 124, 197, 394, 788, 6107, 12214, 24428.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    24428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    24428 is composite. Its prime factorisation is

    24428=22×31×19724428 = 2^{2} \times 31 \times 197
  3. 3

    The divisors add up to 44352; without 24428 itself that is 19924, so 24428 is deficient (19924 is less than 24428). Euler's totient φ(24428) = 11760 numbers up to 24428 share no factor with it.

  4. 4

    The digits of 24428 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.

LaTeX source of the formulas on this page
\[ 24428 = 2^{2} \times 31 \times 197 \]

24428 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors44352
Euler totient φ(n)11760
Square596727184
Cube14576851650752
Square root156.294594 (= 2√6107)
Digit sum / digital root20 / 2
Collatz steps to 1157
Scientific notation2.4428 × 10410^{4}

24428 in other forms

FormValue
In wordstwenty-four thousand four hundred and twenty-eight
Binary (base 2)101111101101100
Octal (base 8)57554
Hexadecimal (base 16)5F6C
Base 31020111202
As time24428 seconds = 6 h 47 min 8 s

Is 24428 divisible by 2 to 12?

DivisorAnswerRule
2Yes (24428 ÷ 2 = 12214)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.
4Yes (24428 ÷ 4 = 6107)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 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 24428 a prime number?

No. 24428 = 222^{2} × 31 × 197, so it is divisible by 2.

What are the factors of 24428?

1, 2, 4, 31, 62, 124, 197, 394, 788, 6107, 12214, 24428.

What is 24428 in binary?

101111101101100 (hexadecimal 5F6C, octal 57554).

What is the square root of 24428?

About 156.2946, exactly 2√6107.

Is 24428 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 24428?

It is a composite number with 12 divisors.

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    24428: is it prime? Factors, square root, binary, Roman numeral | WordGPT