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The number 36942

36942 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 47 × 131. Divisors (16): 1, 2, 3, 6, 47, 94, 131, 141, 262, 282, 393, 786, 6157, 12314, 18471, 36942.

Number

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How to work it out

  1. 1

    36942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    36942 is composite. Its prime factorisation is

    36942=2×3×47×13136942 = 2 \times 3 \times 47 \times 131
  3. 3

    The divisors add up to 76032; without 36942 itself that is 39090, so 36942 is abundant (39090 is more than 36942). Euler's totient φ(36942) = 11960 numbers up to 36942 share no factor with it.

  4. 4

    The digits of 36942 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36942 = 2 \times 3 \times 47 \times 131 \]

36942 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors76032
Euler totient φ(n)11960
Square1364711364
Cube50415167208888
Square root192.203018
Digit sum / digital root24 / 6
Collatz steps to 193
Scientific notation3.6942 × 10410^{4}

36942 in other forms

FormValue
In wordsthirty-six thousand nine hundred and forty-two
Binary (base 2)1001000001001110
Octal (base 8)110116
Hexadecimal (base 16)904E
Base 31212200020
As time36942 seconds = 10 h 15 min 42 s

Is 36942 divisible by 2 to 12?

DivisorAnswerRule
2Yes (36942 ÷ 2 = 18471)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (36942 ÷ 3 = 12314)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.
6Yes (36942 ÷ 6 = 6157)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 6)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36942 a prime number?

No. 36942 = 2 × 3 × 47 × 131, so it is divisible by 2.

What are the factors of 36942?

1, 2, 3, 6, 47, 94, 131, 141, 262, 282, 393, 786, 6157, 12314, 18471, 36942.

What is 36942 in binary?

1001000001001110 (hexadecimal 904E, octal 110116).

What is the square root of 36942?

About 192.2030.

Is 36942 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 36942?

It is a composite number with 16 divisors.

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    36942: is it prime? Factors, square root, binary, Roman numeral | WordGPT