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The number 48295

48295 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 743. Divisors (8): 1, 5, 13, 65, 743, 3715, 9659, 48295.

Number

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How to work it out

  1. 1

    What is special about 48295: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    48295 is composite. Its prime factorisation is

    48295=5×13×74348295 = 5 \times 13 \times 743
  3. 3

    The divisors add up to 62496; without 48295 itself that is 14201, so 48295 is deficient (14201 is less than 48295). Euler's totient φ(48295) = 35616 numbers up to 48295 share no factor with it.

  4. 4

    The digits of 48295 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48295 = 5 \times 13 \times 743 \]

48295 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors62496
Euler totient φ(n)35616
Square2332407025
Cube112643597272375
Square root219.761234
Digit sum / digital root28 / 1
Collatz steps to 1158
Scientific notation4.8295 × 10410^{4}

48295 in other forms

FormValue
In wordsforty-eight thousand two hundred and ninety-five
Binary (base 2)1011110010100111
Octal (base 8)136247
Hexadecimal (base 16)BCA7
Base 32110020201
As time48295 seconds = 13 h 24 min 55 s

Is 48295 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (48295 ÷ 5 = 9659)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.
7No (remainder 2)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48295 a prime number?

No. 48295 = 5 × 13 × 743, so it is divisible by 5.

What are the factors of 48295?

1, 5, 13, 65, 743, 3715, 9659, 48295.

What is 48295 in binary?

1011110010100111 (hexadecimal BCA7, octal 136247).

What is the square root of 48295?

About 219.7612.

Is 48295 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 48295?

48295 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    48295: is it prime? Factors, square root, binary, Roman numeral | WordGPT