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The number 48326

48326 is a composite number with 8 divisors. Its prime factorisation is 2 × 73 × 331. Divisors (8): 1, 2, 73, 146, 331, 662, 24163, 48326.

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How to work it out

  1. 1

    What is special about 48326: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    48326 is composite. Its prime factorisation is

    48326=2×73×33148326 = 2 \times 73 \times 331
  3. 3

    The divisors add up to 73704; without 48326 itself that is 25378, so 48326 is deficient (25378 is less than 48326). Euler's totient φ(48326) = 23760 numbers up to 48326 share no factor with it.

  4. 4

    The digits of 48326 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48326 = 2 \times 73 \times 331 \]

48326 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors73704
Euler totient φ(n)23760
Square2335402276
Cube112860650389976
Square root219.831754
Digit sum / digital root23 / 5
Collatz steps to 170
Scientific notation4.8326 × 10410^{4}

48326 in other forms

FormValue
In wordsforty-eight thousand three hundred and twenty-six
Binary (base 2)1011110011000110
Octal (base 8)136306
Hexadecimal (base 16)BCC6
Base 32110021212
As time48326 seconds = 13 h 25 min 26 s

Is 48326 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48326 ÷ 2 = 24163)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.
4No (remainder 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48326 a prime number?

No. 48326 = 2 × 73 × 331, so it is divisible by 2.

What are the factors of 48326?

1, 2, 73, 146, 331, 662, 24163, 48326.

What is 48326 in binary?

1011110011000110 (hexadecimal BCC6, octal 136306).

What is the square root of 48326?

About 219.8318.

Is 48326 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 48326?

48326 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    48326: is it prime? Factors, square root, binary, Roman numeral | WordGPT