The number 36036

Q: Is 36036 a prime number?

No. 36036 = 2^2 × 3^2 × 7 × 11 × 13, so it is divisible by 2.

36036 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × 11 × 13. Divisors (72): 1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28 … 36036.

Number

Pick any whole number from 1 to 100,000.

36036 = 2^{2} \times 3^{2} \times 7 \times 11 \times 13

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How to work it out

1
What is special about 36036: a Harshad number: divisible by its digit sum 18.
2
36036 is composite. Its prime factorisation is
$36036 = 2^{2} \times 3^{2} \times 7 \times 11 \times 13$
3
The divisors add up to 122304; without 36036 itself that is 86268, so 36036 is abundant (86268 is more than 36036). Euler's totient φ(36036) = 8640 numbers up to 36036 share no factor with it.
4
The digits of 36036 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 41 steps to reach 1.

LaTeX source of the formulas on this page

\[ 36036 = 2^{2} \times 3^{2} \times 7 \times 11 \times 13 \]

36036 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	122304
Euler totient φ(n)	8640
Square	1298593296
Cube	46796108014656
Square root	189.831504 (= 6√1001)
Digit sum / digital root	18 / 9
Collatz steps to 1	41
Scientific notation	3.6036 × $10^{4}$

36036 in other forms

Form	Value
In words	thirty-six thousand and thirty-six
Binary (base 2)	1000110011000100
Octal (base 8)	106304
Hexadecimal (base 16)	8CC4
Base 3	1211102200
As time	36036 seconds = 10 h 0 min 36 s

Is 36036 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (36036 ÷ 2 = 18018)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (36036 ÷ 3 = 12012)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (36036 ÷ 4 = 9009)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (36036 ÷ 6 = 6006)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (36036 ÷ 7 = 5148)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (36036 ÷ 9 = 4004)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	Yes (36036 ÷ 11 = 3276)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (36036 ÷ 12 = 3003)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36036 a prime number?

No. 36036 = $2^{2}$ × $3^{2}$ × 7 × 11 × 13, so it is divisible by 2.

What are the factors of 36036?

1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018, 36036.

What is 36036 in binary?

1000110011000100 (hexadecimal 8CC4, octal 106304).

What is the square root of 36036?

About 189.8315, exactly 6√1001.

Is 36036 divisible by 3?

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

What is special about the number 36036?

36036 is a Harshad number: divisible by its digit sum 18.