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The number 48173

48173 is a composite number with 4 divisors. Its prime factorisation is 67 × 719. Divisors (4): 1, 67, 719, 48173.

Number

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How to work it out

  1. 1

    What is special about 48173: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 719, the product of two primes.

  2. 2

    48173 is composite. Its prime factorisation is

    48173=67×71948173 = 67 \times 719
  3. 3

    The divisors add up to 48960; without 48173 itself that is 787, so 48173 is deficient (787 is less than 48173). Euler's totient φ(48173) = 47388 numbers up to 48173 share no factor with it.

  4. 4

    The digits of 48173 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 52 steps to reach 1.

LaTeX source of the formulas on this page
\[ 48173 = 67 \times 719 \]

48173 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48960
Euler totient φ(n)47388
Square2320637929
Cube111792090953717
Square root219.483485
Digit sum / digital root23 / 5
Collatz steps to 152
Scientific notation4.8173 × 10410^{4}

48173 in other forms

FormValue
In wordsforty-eight thousand one hundred and seventy-three
Binary (base 2)1011110000101101
Octal (base 8)136055
Hexadecimal (base 16)BC2D
Base 32110002012
As time48173 seconds = 13 h 22 min 53 s

Is 48173 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 2)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.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 5)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 48173 a prime number?

No. 48173 = 67 × 719, so it is divisible by 67.

What are the factors of 48173?

1, 67, 719, 48173.

What is 48173 in binary?

1011110000101101 (hexadecimal BC2D, octal 136055).

What is the square root of 48173?

About 219.4835.

Is 48173 divisible by 3?

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

What is special about the number 48173?

48173 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 719, the product of two primes.

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