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The number 42891

42891 is a composite number with 12 divisors. Its prime factorisation is 3 × 17 × 29229^{2}. Divisors (12): 1, 3, 17, 29, 51, 87, 493, 841, 1479, 2523, 14297, 42891.

Number

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How to work it out

  1. 1

    42891 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

    42891 is composite. Its prime factorisation is

    42891=3×17×29242891 = 3 \times 17 \times 29^{2}
  3. 3

    The divisors add up to 62712; without 42891 itself that is 19821, so 42891 is deficient (19821 is less than 42891). Euler's totient φ(42891) = 25984 numbers up to 42891 share no factor with it.

  4. 4

    The digits of 42891 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42891 = 3 \times 17 \times 29^{2} \]

42891 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors62712
Euler totient φ(n)25984
Square1839637881
Cube78903908353971
Square root207.101424 (= 29√51)
Digit sum / digital root24 / 6
Collatz steps to 1150
Scientific notation4.2891 × 10410^{4}

42891 in other forms

FormValue
In wordsforty-two thousand eight hundred and ninety-one
Binary (base 2)1010011110001011
Octal (base 8)123613
Hexadecimal (base 16)A78B
Base 32011211120
As time42891 seconds = 11 h 54 min 51 s

Is 42891 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 (42891 ÷ 3 = 14297)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 2)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 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 2)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 42891 a prime number?

No. 42891 = 3 × 17 × 29229^{2}, so it is divisible by 3.

What are the factors of 42891?

1, 3, 17, 29, 51, 87, 493, 841, 1479, 2523, 14297, 42891.

What is 42891 in binary?

1010011110001011 (hexadecimal A78B, octal 123613).

What is the square root of 42891?

About 207.1014, exactly 29√51.

Is 42891 divisible by 3?

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

What is special about the number 42891?

It is a composite number with 12 divisors.

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    42891: is it prime? Factors, square root, binary, Roman numeral | WordGPT