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The number 60036

60036 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 3 × 5003. Divisors (12): 1, 2, 3, 4, 6, 12, 5003, 10006, 15009, 20012, 30018, 60036.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    60036 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

    60036 is composite. Its prime factorisation is

    60036=22×3×500360036 = 2^{2} \times 3 \times 5003
  3. 3

    The divisors add up to 140112; without 60036 itself that is 80076, so 60036 is abundant (80076 is more than 60036). Euler's totient φ(60036) = 20008 numbers up to 60036 share no factor with it.

  4. 4

    The digits of 60036 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60036 = 2^{2} \times 3 \times 5003 \]

60036 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors140112
Euler totient φ(n)20008
Square3604321296
Cube216389033326656
Square root245.022448 (= 2√15009)
Digit sum / digital root15 / 6
Collatz steps to 1117
Scientific notation6.0036 × 10410^{4}

60036 in other forms

FormValue
In wordssixty thousand and thirty-six
Binary (base 2)1110101010000100
Octal (base 8)165204
Hexadecimal (base 16)EA84
Base 310001100120
As time60036 seconds = 16 h 40 min 36 s

Is 60036 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60036 ÷ 2 = 30018)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60036 ÷ 3 = 20012)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (60036 ÷ 4 = 15009)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.
6Yes (60036 ÷ 6 = 10006)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 4)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 6)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.
12Yes (60036 ÷ 12 = 5003)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60036 a prime number?

No. 60036 = 222^{2} × 3 × 5003, so it is divisible by 2.

What are the factors of 60036?

1, 2, 3, 4, 6, 12, 5003, 10006, 15009, 20012, 30018, 60036.

What is 60036 in binary?

1110101010000100 (hexadecimal EA84, octal 165204).

What is the square root of 60036?

About 245.0224, exactly 2√15009.

Is 60036 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 60036?

It is a composite number with 12 divisors.

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    60036: is it prime? Factors, square root, binary, Roman numeral | WordGPT