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The number 82642

82642 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 5903. Divisors (8): 1, 2, 7, 14, 5903, 11806, 41321, 82642.

Number

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How to work it out

  1. 1

    82642 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

    82642 is composite. Its prime factorisation is

    82642=2×7×590382642 = 2 \times 7 \times 5903
  3. 3

    The divisors add up to 141696; without 82642 itself that is 59054, so 82642 is deficient (59054 is less than 82642). Euler's totient φ(82642) = 35412 numbers up to 82642 share no factor with it.

  4. 4

    The digits of 82642 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.

LaTeX source of the formulas on this page
\[ 82642 = 2 \times 7 \times 5903 \]

82642 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors141696
Euler totient φ(n)35412
Square6829700164
Cube564420080953288
Square root287.475216
Digit sum / digital root22 / 4
Collatz steps to 1120
Scientific notation8.2642 × 10410^{4}

82642 in other forms

FormValue
In wordseighty-two thousand six hundred and forty-two
Binary (base 2)10100001011010010
Octal (base 8)241322
Hexadecimal (base 16)142D2
Base 311012100211
As time82642 seconds = 22 h 57 min 22 s

Is 82642 divisible by 2 to 12?

DivisorAnswerRule
2Yes (82642 ÷ 2 = 41321)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 (82642 ÷ 7 = 11806)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 4)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 10)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 82642 a prime number?

No. 82642 = 2 × 7 × 5903, so it is divisible by 2.

What are the factors of 82642?

1, 2, 7, 14, 5903, 11806, 41321, 82642.

What is 82642 in binary?

10100001011010010 (hexadecimal 142D2, octal 241322).

What is the square root of 82642?

About 287.4752.

Is 82642 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 82642?

It is a composite number with 8 divisors.

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    82642: is it prime? Factors, square root, binary, Roman numeral | WordGPT