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The number 42091

42091 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 859. Divisors (6): 1, 7, 49, 859, 6013, 42091.

Number

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How to work it out

  1. 1

    42091 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    42091 is composite. Its prime factorisation is

    42091=72Ɨ85942091 = 7^{2} \times 859
  3. 3

    The divisors add up to 49020; without 42091 itself that is 6929, so 42091 is deficient (6929 is less than 42091). Euler's totient φ(42091) = 36036 numbers up to 42091 share no factor with it.

  4. 4

    The digits of 42091 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42091 = 7^{2} \times 859 \]

42091 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors49020
Euler totient φ(n)36036
Square1771652281
Cube74570616159571
Square root205.160912 (= 7√859)
Digit sum / digital root16 / 7
Collatz steps to 1181
Scientific notation4.2091 Ɨ 10410^{4}

42091 in other forms

FormValue
In wordsforty-two thousand and ninety-one
Binary (base 2)1010010001101011
Octal (base 8)122153
Hexadecimal (base 16)A46B
Base 32010201221
As time42091 seconds = 11 h 41 min 31 s

Is 42091 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.
5No (remainder 1)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.
7Yes (42091 Ć· 7 = 6013)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 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 42091 a prime number?

No. 42091 = 727^{2} Ɨ 859, so it is divisible by 7.

What are the factors of 42091?

1, 7, 49, 859, 6013, 42091.

What is 42091 in binary?

1010010001101011 (hexadecimal A46B, octal 122153).

What is the square root of 42091?

About 205.1609, exactly 7√859.

Is 42091 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 42091?

It is a composite number with 6 divisors.

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    42091: is it prime? Factors, square root, binary, Roman numeral | WordGPT