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The number 36033

36033 is a composite number with 4 divisors. Its prime factorisation is 3 × 12011. Divisors (4): 1, 3, 12011, 36033.

Number

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How to work it out

  1. 1

    What is special about 36033: a semiprime: 3 × 12011, the product of two primes.

  2. 2

    36033 is composite. Its prime factorisation is

    36033=3×1201136033 = 3 \times 12011
  3. 3

    The divisors add up to 48048; without 36033 itself that is 12015, so 36033 is deficient (12015 is less than 36033). Euler's totient φ(36033) = 24020 numbers up to 36033 share no factor with it.

  4. 4

    The digits of 36033 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 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36033 = 3 \times 12011 \]

36033 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors48048
Euler totient φ(n)24020
Square1298377089
Cube46784421647937
Square root189.823602
Digit sum / digital root15 / 6
Collatz steps to 141
Scientific notation3.6033 × 10410^{4}

36033 in other forms

FormValue
In wordsthirty-six thousand and thirty-three
Binary (base 2)1000110011000001
Octal (base 8)106301
Hexadecimal (base 16)8CC1
Base 31211102120
As time36033 seconds = 10 h 0 min 33 s

Is 36033 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (36033 ÷ 3 = 12011)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 1)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36033 a prime number?

No. 36033 = 3 × 12011, so it is divisible by 3.

What are the factors of 36033?

1, 3, 12011, 36033.

What is 36033 in binary?

1000110011000001 (hexadecimal 8CC1, octal 106301).

What is the square root of 36033?

About 189.8236.

Is 36033 divisible by 3?

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

What is special about the number 36033?

36033 is a semiprime: 3 × 12011, the product of two primes.

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