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The number 41473

41473 is a composite number with 4 divisors. Its prime factorisation is 67 × 619. Divisors (4): 1, 67, 619, 41473.

Number

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How to work it out

  1. 1

    What is special about 41473: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 619, the product of two primes.

  2. 2

    41473 is composite. Its prime factorisation is

    41473=67×61941473 = 67 \times 619
  3. 3

    The divisors add up to 42160; without 41473 itself that is 687, so 41473 is deficient (687 is less than 41473). Euler's totient φ(41473) = 40788 numbers up to 41473 share no factor with it.

  4. 4

    The digits of 41473 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41473 = 67 \times 619 \]

41473 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors42160
Euler totient φ(n)40788
Square1720009729
Cube71333963490817
Square root203.649208
Digit sum / digital root19 / 1
Collatz steps to 188
Scientific notation4.1473 × 10410^{4}

41473 in other forms

FormValue
In wordsforty-one thousand four hundred and seventy-three
Binary (base 2)1010001000000001
Octal (base 8)121001
Hexadecimal (base 16)A201
Base 32002220001
As time41473 seconds = 11 h 31 min 13 s

Is 41473 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.
5No (remainder 3)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 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 1)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 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41473 a prime number?

No. 41473 = 67 × 619, so it is divisible by 67.

What are the factors of 41473?

1, 67, 619, 41473.

What is 41473 in binary?

1010001000000001 (hexadecimal A201, octal 121001).

What is the square root of 41473?

About 203.6492.

Is 41473 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 41473?

41473 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 619, the product of two primes.

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