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The number 48265

48265 is a composite number with 12 divisors. Its prime factorisation is 5 × 727^{2} × 197. Divisors (12): 1, 5, 7, 35, 49, 197, 245, 985, 1379, 6895, 9653, 48265.

Number

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How to work it out

  1. 1

    48265 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

    48265 is composite. Its prime factorisation is

    48265=5×72×19748265 = 5 \times 7^{2} \times 197
  3. 3

    The divisors add up to 67716; without 48265 itself that is 19451, so 48265 is deficient (19451 is less than 48265). Euler's totient φ(48265) = 32928 numbers up to 48265 share no factor with it.

  4. 4

    The digits of 48265 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 189 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48265 = 5 \times 7^{2} \times 197 \]

48265 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors67716
Euler totient φ(n)32928
Square2329510225
Cube112433811009625
Square root219.692968 (= 7√985)
Digit sum / digital root25 / 7
Collatz steps to 1189
Scientific notation4.8265 × 10410^{4}

48265 in other forms

FormValue
In wordsforty-eight thousand two hundred and sixty-five
Binary (base 2)1011110010001001
Octal (base 8)136211
Hexadecimal (base 16)BC89
Base 32110012121
As time48265 seconds = 13 h 24 min 25 s

Is 48265 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (48265 ÷ 5 = 9653)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.
7Yes (48265 ÷ 7 = 6895)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 1)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48265 a prime number?

No. 48265 = 5 × 727^{2} × 197, so it is divisible by 5.

What are the factors of 48265?

1, 5, 7, 35, 49, 197, 245, 985, 1379, 6895, 9653, 48265.

What is 48265 in binary?

1011110010001001 (hexadecimal BC89, octal 136211).

What is the square root of 48265?

About 219.6930, exactly 7√985.

Is 48265 divisible by 3?

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

What is special about the number 48265?

It is a composite number with 12 divisors.

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    48265: is it prime? Factors, square root, binary, Roman numeral | WordGPT