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The number 41889

41889 is a composite number with 4 divisors. Its prime factorisation is 3 × 13963. Divisors (4): 1, 3, 13963, 41889.

Number

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How to work it out

  1. 1

    What is special about 41889: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 13963, the product of two primes.

  2. 2

    41889 is composite. Its prime factorisation is

    41889=3×1396341889 = 3 \times 13963
  3. 3

    The divisors add up to 55856; without 41889 itself that is 13967, so 41889 is deficient (13967 is less than 41889). Euler's totient φ(41889) = 27924 numbers up to 41889 share no factor with it.

  4. 4

    The digits of 41889 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41889 = 3 \times 13963 \]

41889 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55856
Euler totient φ(n)27924
Square1754688321
Cube73502139078369
Square root204.668024
Digit sum / digital root30 / 3
Collatz steps to 1106
Scientific notation4.1889 × 10410^{4}

41889 in other forms

FormValue
In wordsforty-one thousand eight hundred and eighty-nine
Binary (base 2)1010001110100001
Octal (base 8)121641
Hexadecimal (base 16)A3A1
Base 32010110110
As time41889 seconds = 11 h 38 min 9 s

Is 41889 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).
3Yes (41889 ÷ 3 = 13963)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41889 a prime number?

No. 41889 = 3 × 13963, so it is divisible by 3.

What are the factors of 41889?

1, 3, 13963, 41889.

What is 41889 in binary?

1010001110100001 (hexadecimal A3A1, octal 121641).

What is the square root of 41889?

About 204.6680.

Is 41889 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 41889?

41889 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 13963, the product of two primes.

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