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The number 62082

62082 is a composite number with 12 divisors. Its prime factorisation is 2 × 323^{2} × 3449. Divisors (12): 1, 2, 3, 6, 9, 18, 3449, 6898, 10347, 20694, 31041, 62082.

Number

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How to work it out

  1. 1

    What is special about 62082: a Harshad number: divisible by its digit sum 18.

  2. 2

    62082 is composite. Its prime factorisation is

    62082=2×32×344962082 = 2 \times 3^{2} \times 3449
  3. 3

    The divisors add up to 134550; without 62082 itself that is 72468, so 62082 is abundant (72468 is more than 62082). Euler's totient φ(62082) = 20688 numbers up to 62082 share no factor with it.

  4. 4

    The digits of 62082 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62082 = 2 \times 3^{2} \times 3449 \]

62082 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors134550
Euler totient φ(n)20688
Square3854174724
Cube239274875215368
Square root249.162598 (= 3√6898)
Digit sum / digital root18 / 9
Collatz steps to 155
Scientific notation6.2082 × 10410^{4}

62082 in other forms

FormValue
In wordssixty-two thousand and eighty-two
Binary (base 2)1111001010000010
Octal (base 8)171202
Hexadecimal (base 16)F282
Base 310011011100
As time62082 seconds = 17 h 14 min 42 s

Is 62082 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62082 ÷ 2 = 31041)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (62082 ÷ 3 = 20694)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.
6Yes (62082 ÷ 6 = 10347)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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.
9Yes (62082 ÷ 9 = 6898)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62082 a prime number?

No. 62082 = 2 × 323^{2} × 3449, so it is divisible by 2.

What are the factors of 62082?

1, 2, 3, 6, 9, 18, 3449, 6898, 10347, 20694, 31041, 62082.

What is 62082 in binary?

1111001010000010 (hexadecimal F282, octal 171202).

What is the square root of 62082?

About 249.1626, exactly 3√6898.

Is 62082 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 62082?

62082 is a Harshad number: divisible by its digit sum 18.

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