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The number 30742

30742 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 809. Divisors (8): 1, 2, 19, 38, 809, 1618, 15371, 30742.

Number

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How to work it out

  1. 1

    30742 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

    30742 is composite. Its prime factorisation is

    30742=2×19×80930742 = 2 \times 19 \times 809
  3. 3

    The divisors add up to 48600; without 30742 itself that is 17858, so 30742 is deficient (17858 is less than 30742). Euler's totient φ(30742) = 14544 numbers up to 30742 share no factor with it.

  4. 4

    The digits of 30742 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30742 = 2 \times 19 \times 809 \]

30742 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors48600
Euler totient φ(n)14544
Square945070564
Cube29053359278488
Square root175.333967
Digit sum / digital root16 / 7
Collatz steps to 141
Scientific notation3.0742 × 10410^{4}

30742 in other forms

FormValue
In wordsthirty thousand seven hundred and forty-two
Binary (base 2)111100000010110
Octal (base 8)74026
Hexadecimal (base 16)7816
Base 31120011121
As time30742 seconds = 8 h 32 min 22 s

Is 30742 divisible by 2 to 12?

DivisorAnswerRule
2Yes (30742 ÷ 2 = 15371)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 5)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 7)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 8)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 30742 a prime number?

No. 30742 = 2 × 19 × 809, so it is divisible by 2.

What are the factors of 30742?

1, 2, 19, 38, 809, 1618, 15371, 30742.

What is 30742 in binary?

111100000010110 (hexadecimal 7816, octal 74026).

What is the square root of 30742?

About 175.3340.

Is 30742 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 30742?

It is a composite number with 8 divisors.

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    30742: is it prime? Factors, square root, binary, Roman numeral | WordGPT