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The number 48436

48436 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 12109. Divisors (6): 1, 2, 4, 12109, 24218, 48436.

Number

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How to work it out

  1. 1

    48436 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

    48436 is composite. Its prime factorisation is

    48436=22×1210948436 = 2^{2} \times 12109
  3. 3

    The divisors add up to 84770; without 48436 itself that is 36334, so 48436 is deficient (36334 is less than 48436). Euler's totient φ(48436) = 24216 numbers up to 48436 share no factor with it.

  4. 4

    The digits of 48436 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48436 = 2^{2} \times 12109 \]

48436 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors84770
Euler totient φ(n)24216
Square2346046096
Cube113633088705856
Square root220.081803 (= 2√12109)
Digit sum / digital root25 / 7
Collatz steps to 170
Scientific notation4.8436 × 10410^{4}

48436 in other forms

FormValue
In wordsforty-eight thousand four hundred and thirty-six
Binary (base 2)1011110100110100
Octal (base 8)136464
Hexadecimal (base 16)BD34
Base 32110102221
As time48436 seconds = 13 h 27 min 16 s

Is 48436 divisible by 2 to 12?

DivisorAnswerRule
2Yes (48436 ÷ 2 = 24218)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.
4Yes (48436 ÷ 4 = 12109)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 4)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 7)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48436 a prime number?

No. 48436 = 222^{2} × 12109, so it is divisible by 2.

What are the factors of 48436?

1, 2, 4, 12109, 24218, 48436.

What is 48436 in binary?

1011110100110100 (hexadecimal BD34, octal 136464).

What is the square root of 48436?

About 220.0818, exactly 2√12109.

Is 48436 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 48436?

It is a composite number with 6 divisors.

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    48436: is it prime? Factors, square root, binary, Roman numeral | WordGPT