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The number 36742

36742 is a composite number with 4 divisors. Its prime factorisation is 2 × 18371. Divisors (4): 1, 2, 18371, 36742.

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How to work it out

  1. 1

    What is special about 36742: a semiprime: 2 × 18371, the product of two primes.

  2. 2

    36742 is composite. Its prime factorisation is

    36742=2×1837136742 = 2 \times 18371
  3. 3

    The divisors add up to 55116; without 36742 itself that is 18374, so 36742 is deficient (18374 is less than 36742). Euler's totient φ(36742) = 18370 numbers up to 36742 share no factor with it.

  4. 4

    The digits of 36742 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 186 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36742 = 2 \times 18371 \]

36742 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors55116
Euler totient φ(n)18370
Square1349974564
Cube49600765430488
Square root191.682028
Digit sum / digital root22 / 4
Collatz steps to 1186
Scientific notation3.6742 × 10410^{4}

36742 in other forms

FormValue
In wordsthirty-six thousand seven hundred and forty-two
Binary (base 2)1000111110000110
Octal (base 8)107606
Hexadecimal (base 16)8F86
Base 31212101211
As time36742 seconds = 10 h 12 min 22 s

Is 36742 divisible by 2 to 12?

DivisorAnswerRule
2Yes (36742 ÷ 2 = 18371)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36742 a prime number?

No. 36742 = 2 × 18371, so it is divisible by 2.

What are the factors of 36742?

1, 2, 18371, 36742.

What is 36742 in binary?

1000111110000110 (hexadecimal 8F86, octal 107606).

What is the square root of 36742?

About 191.6820.

Is 36742 divisible by 3?

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

What is special about the number 36742?

36742 is a semiprime: 2 × 18371, the product of two primes.

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    36742: is it prime? Factors, square root, binary, Roman numeral | WordGPT