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The number 33142

33142 is a composite number with 8 divisors. Its prime factorisation is 2 × 73 × 227. Divisors (8): 1, 2, 73, 146, 227, 454, 16571, 33142.

Number

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How to work it out

  1. 1

    33142 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

    33142 is composite. Its prime factorisation is

    33142=2×73×22733142 = 2 \times 73 \times 227
  3. 3

    The divisors add up to 50616; without 33142 itself that is 17474, so 33142 is deficient (17474 is less than 33142). Euler's totient φ(33142) = 16272 numbers up to 33142 share no factor with it.

  4. 4

    The digits of 33142 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33142 = 2 \times 73 \times 227 \]

33142 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors50616
Euler totient φ(n)16272
Square1098392164
Cube36402913099288
Square root182.049444
Digit sum / digital root13 / 4
Collatz steps to 167
Scientific notation3.3142 × 10410^{4}

33142 in other forms

FormValue
In wordsthirty-three thousand one hundred and forty-two
Binary (base 2)1000000101110110
Octal (base 8)100566
Hexadecimal (base 16)8176
Base 31200110111
As time33142 seconds = 9 h 12 min 22 s

Is 33142 divisible by 2 to 12?

DivisorAnswerRule
2Yes (33142 ÷ 2 = 16571)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 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 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 10)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 33142 a prime number?

No. 33142 = 2 × 73 × 227, so it is divisible by 2.

What are the factors of 33142?

1, 2, 73, 146, 227, 454, 16571, 33142.

What is 33142 in binary?

1000000101110110 (hexadecimal 8176, octal 100566).

What is the square root of 33142?

About 182.0494.

Is 33142 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 33142?

It is a composite number with 8 divisors.

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    33142: is it prime? Factors, square root, binary, Roman numeral | WordGPT