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The number 36482

36482 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 29 × 37. Divisors (16): 1, 2, 17, 29, 34, 37, 58, 74, 493, 629, 986, 1073, 1258, 2146, 18241, 36482.

Number

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How to work it out

  1. 1

    What is special about 36482: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    36482 is composite. Its prime factorisation is

    36482=2×17×29×3736482 = 2 \times 17 \times 29 \times 37
  3. 3

    The divisors add up to 61560; without 36482 itself that is 25078, so 36482 is deficient (25078 is less than 36482). Euler's totient φ(36482) = 16128 numbers up to 36482 share no factor with it.

  4. 4

    The digits of 36482 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36482 = 2 \times 17 \times 29 \times 37 \]

36482 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors61560
Euler totient φ(n)16128
Square1330936324
Cube48555218972168
Square root191.002618
Digit sum / digital root23 / 5
Collatz steps to 162
Scientific notation3.6482 × 10410^{4}

36482 in other forms

FormValue
In wordsthirty-six thousand four hundred and eighty-two
Binary (base 2)1000111010000010
Octal (base 8)107202
Hexadecimal (base 16)8E82
Base 31212001012
As time36482 seconds = 10 h 8 min 2 s

Is 36482 divisible by 2 to 12?

DivisorAnswerRule
2Yes (36482 ÷ 2 = 18241)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 5)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36482 a prime number?

No. 36482 = 2 × 17 × 29 × 37, so it is divisible by 2.

What are the factors of 36482?

1, 2, 17, 29, 34, 37, 58, 74, 493, 629, 986, 1073, 1258, 2146, 18241, 36482.

What is 36482 in binary?

1000111010000010 (hexadecimal 8E82, octal 107202).

What is the square root of 36482?

About 191.0026.

Is 36482 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 36482?

36482 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    36482: is it prime? Factors, square root, binary, Roman numeral | WordGPT