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The number 98444

98444 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 24611. Divisors (6): 1, 2, 4, 24611, 49222, 98444.

Number

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How to work it out

  1. 1

    What is special about 98444: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    98444 is composite. Its prime factorisation is

    98444=22×2461198444 = 2^{2} \times 24611
  3. 3

    The divisors add up to 172284; without 98444 itself that is 73840, so 98444 is deficient (73840 is less than 98444). Euler's totient φ(98444) = 49220 numbers up to 98444 share no factor with it.

  4. 4

    The digits of 98444 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98444 = 2^{2} \times 24611 \]

98444 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors172284
Euler totient φ(n)49220
Square9691221136
Cube954042573512384
Square root313.757868 (= 2√24611)
Digit sum / digital root29 / 2
Collatz steps to 1159
Scientific notation9.8444 × 10410^{4}

98444 in other forms

FormValue
In wordsninety-eight thousand four hundred and forty-four
Binary (base 2)11000000010001100
Octal (base 8)300214
Hexadecimal (base 16)1808C
Base 312000001002
As time98444 seconds = 27 h 20 min 44 s

Is 98444 divisible by 2 to 12?

DivisorAnswerRule
2Yes (98444 ÷ 2 = 49222)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 (98444 ÷ 4 = 24611)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 98444 a prime number?

No. 98444 = 222^{2} × 24611, so it is divisible by 2.

What are the factors of 98444?

1, 2, 4, 24611, 49222, 98444.

What is 98444 in binary?

11000000010001100 (hexadecimal 1808C, octal 300214).

What is the square root of 98444?

About 313.7579, exactly 2√24611.

Is 98444 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 98444?

98444 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    98444: is it prime? Factors, square root, binary, Roman numeral | WordGPT