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The number 36733

36733 is a composite number with 4 divisors. Its prime factorisation is 109 × 337. Divisors (4): 1, 109, 337, 36733.

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How to work it out

  1. 1

    What is special about 36733: a semiprime: 109 × 337, the product of two primes.

  2. 2

    36733 is composite. Its prime factorisation is

    36733=109×33736733 = 109 \times 337
  3. 3

    The divisors add up to 37180; without 36733 itself that is 447, so 36733 is deficient (447 is less than 36733). Euler's totient φ(36733) = 36288 numbers up to 36733 share no factor with it.

  4. 4

    The digits of 36733 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36733 = 109 \times 337 \]

36733 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors37180
Euler totient φ(n)36288
Square1349313289
Cube49564325044837
Square root191.658551
Digit sum / digital root22 / 4
Collatz steps to 1173
Scientific notation3.6733 × 10410^{4}

36733 in other forms

FormValue
In wordsthirty-six thousand seven hundred and thirty-three
Binary (base 2)1000111101111101
Octal (base 8)107575
Hexadecimal (base 16)8F7D
Base 31212101111
As time36733 seconds = 10 h 12 min 13 s

Is 36733 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).
3No (remainder 1)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 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36733 a prime number?

No. 36733 = 109 × 337, so it is divisible by 109.

What are the factors of 36733?

1, 109, 337, 36733.

What is 36733 in binary?

1000111101111101 (hexadecimal 8F7D, octal 107575).

What is the square root of 36733?

About 191.6586.

Is 36733 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 36733?

36733 is a semiprime: 109 × 337, the product of two primes.

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