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The number 41991

41991 is a composite number with 4 divisors. Its prime factorisation is 3 × 13997. Divisors (4): 1, 3, 13997, 41991.

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How to work it out

  1. 1

    What is special about 41991: a semiprime: 3 × 13997, the product of two primes.

  2. 2

    41991 is composite. Its prime factorisation is

    41991=3×1399741991 = 3 \times 13997
  3. 3

    The divisors add up to 55992; without 41991 itself that is 14001, so 41991 is deficient (14001 is less than 41991). Euler's totient φ(41991) = 27992 numbers up to 41991 share no factor with it.

  4. 4

    The digits of 41991 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41991 = 3 \times 13997 \]

41991 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55992
Euler totient φ(n)27992
Square1763244081
Cube74040382205271
Square root204.917056
Digit sum / digital root24 / 6
Collatz steps to 1119
Scientific notation4.1991 × 10410^{4}

41991 in other forms

FormValue
In wordsforty-one thousand nine hundred and ninety-one
Binary (base 2)1010010000000111
Octal (base 8)122007
Hexadecimal (base 16)A407
Base 32010121020
As time41991 seconds = 11 h 39 min 51 s

Is 41991 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 (41991 ÷ 3 = 13997)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.
5No (remainder 1)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41991 a prime number?

No. 41991 = 3 × 13997, so it is divisible by 3.

What are the factors of 41991?

1, 3, 13997, 41991.

What is 41991 in binary?

1010010000000111 (hexadecimal A407, octal 122007).

What is the square root of 41991?

About 204.9171.

Is 41991 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 41991?

41991 is a semiprime: 3 × 13997, the product of two primes.

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