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The number 91042

91042 is a composite number with 12 divisors. Its prime factorisation is 2 × 727^{2} × 929. Divisors (12): 1, 2, 7, 14, 49, 98, 929, 1858, 6503, 13006, 45521, 91042.

Number

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How to work it out

  1. 1

    91042 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

    91042 is composite. Its prime factorisation is

    91042=2×72×92991042 = 2 \times 7^{2} \times 929
  3. 3

    The divisors add up to 159030; without 91042 itself that is 67988, so 91042 is deficient (67988 is less than 91042). Euler's totient φ(91042) = 38976 numbers up to 91042 share no factor with it.

  4. 4

    The digits of 91042 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 133 steps to reach 1.

LaTeX source of the formulas on this page
\[ 91042 = 2 \times 7^{2} \times 929 \]

91042 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors159030
Euler totient φ(n)38976
Square8288645764
Cube754614887646088
Square root301.731669 (= 7√1858)
Digit sum / digital root16 / 7
Collatz steps to 1133
Scientific notation9.1042 × 10410^{4}

91042 in other forms

FormValue
In wordsninety-one thousand and forty-two
Binary (base 2)10110001110100010
Octal (base 8)261642
Hexadecimal (base 16)163A2
Base 311121212221
As time91042 seconds = 25 h 17 min 22 s

Is 91042 divisible by 2 to 12?

DivisorAnswerRule
2Yes (91042 ÷ 2 = 45521)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (91042 ÷ 7 = 13006)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 2)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 91042 a prime number?

No. 91042 = 2 × 727^{2} × 929, so it is divisible by 2.

What are the factors of 91042?

1, 2, 7, 14, 49, 98, 929, 1858, 6503, 13006, 45521, 91042.

What is 91042 in binary?

10110001110100010 (hexadecimal 163A2, octal 261642).

What is the square root of 91042?

About 301.7317, exactly 7√1858.

Is 91042 divisible by 3?

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

What is special about the number 91042?

It is a composite number with 12 divisors.

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