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The number 42033

42033 is a composite number with 4 divisors. Its prime factorisation is 3 × 14011. Divisors (4): 1, 3, 14011, 42033.

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How to work it out

  1. 1

    What is special about 42033: a semiprime: 3 × 14011, the product of two primes.

  2. 2

    42033 is composite. Its prime factorisation is

    42033=3×1401142033 = 3 \times 14011
  3. 3

    The divisors add up to 56048; without 42033 itself that is 14015, so 42033 is deficient (14015 is less than 42033). Euler's totient φ(42033) = 28020 numbers up to 42033 share no factor with it.

  4. 4

    The digits of 42033 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42033 = 3 \times 14011 \]

42033 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56048
Euler totient φ(n)28020
Square1766773089
Cube74262773249937
Square root205.019511
Digit sum / digital root12 / 3
Collatz steps to 1150
Scientific notation4.2033 × 10410^{4}

42033 in other forms

FormValue
In wordsforty-two thousand and thirty-three
Binary (base 2)1010010000110001
Octal (base 8)122061
Hexadecimal (base 16)A431
Base 32010122210
As time42033 seconds = 11 h 40 min 33 s

Is 42033 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 (42033 ÷ 3 = 14011)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 3)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42033 a prime number?

No. 42033 = 3 × 14011, so it is divisible by 3.

What are the factors of 42033?

1, 3, 14011, 42033.

What is 42033 in binary?

1010010000110001 (hexadecimal A431, octal 122061).

What is the square root of 42033?

About 205.0195.

Is 42033 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 42033?

42033 is a semiprime: 3 × 14011, the product of two primes.

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    42033: is it prime? Factors, square root, binary, Roman numeral | WordGPT