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The number 36789

36789 is a composite number with 4 divisors. Its prime factorisation is 3 × 12263. Divisors (4): 1, 3, 12263, 36789.

Number

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How to work it out

  1. 1

    What is special about 36789: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 12263, the product of two primes.

  2. 2

    36789 is composite. Its prime factorisation is

    36789=3×1226336789 = 3 \times 12263
  3. 3

    The divisors add up to 49056; without 36789 itself that is 12267, so 36789 is deficient (12267 is less than 36789). Euler's totient φ(36789) = 24524 numbers up to 36789 share no factor with it.

  4. 4

    The digits of 36789 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36789 = 3 \times 12263 \]

36789 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors49056
Euler totient φ(n)24524
Square1353430521
Cube49791355437069
Square root191.804588
Digit sum / digital root33 / 6
Collatz steps to 1155
Scientific notation3.6789 × 10410^{4}

36789 in other forms

FormValue
In wordsthirty-six thousand seven hundred and eighty-nine
Binary (base 2)1000111110110101
Octal (base 8)107665
Hexadecimal (base 16)8FB5
Base 31212110120
As time36789 seconds = 10 h 13 min 9 s

Is 36789 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 (36789 ÷ 3 = 12263)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 4)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 5)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 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 36789 a prime number?

No. 36789 = 3 × 12263, so it is divisible by 3.

What are the factors of 36789?

1, 3, 12263, 36789.

What is 36789 in binary?

1000111110110101 (hexadecimal 8FB5, octal 107665).

What is the square root of 36789?

About 191.8046.

Is 36789 divisible by 3?

Yes. Its digits add up to 33, a multiple of 3.

What is special about the number 36789?

36789 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 12263, the product of two primes.

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