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The number 42037

42037 is a composite number with 4 divisors. Its prime factorisation is 127 × 331. Divisors (4): 1, 127, 331, 42037.

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How to work it out

  1. 1

    What is special about 42037: a semiprime: 127 × 331, the product of two primes.

  2. 2

    42037 is composite. Its prime factorisation is

    42037=127×33142037 = 127 \times 331
  3. 3

    The divisors add up to 42496; without 42037 itself that is 459, so 42037 is deficient (459 is less than 42037). Euler's totient φ(42037) = 41580 numbers up to 42037 share no factor with it.

  4. 4

    The digits of 42037 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 31 steps to reach 1.

LaTeX source of the formulas on this page
\[ 42037 = 127 \times 331 \]

42037 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors42496
Euler totient φ(n)41580
Square1767109369
Cube74283976544653
Square root205.029266
Digit sum / digital root16 / 7
Collatz steps to 131
Scientific notation4.2037 × 10410^{4}

42037 in other forms

FormValue
In wordsforty-two thousand and thirty-seven
Binary (base 2)1010010000110101
Octal (base 8)122065
Hexadecimal (base 16)A435
Base 32010122221
As time42037 seconds = 11 h 40 min 37 s

Is 42037 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).
3No (remainder 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 5)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 42037 a prime number?

No. 42037 = 127 × 331, so it is divisible by 127.

What are the factors of 42037?

1, 127, 331, 42037.

What is 42037 in binary?

1010010000110101 (hexadecimal A435, octal 122065).

What is the square root of 42037?

About 205.0293.

Is 42037 divisible by 3?

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

What is special about the number 42037?

42037 is a semiprime: 127 × 331, the product of two primes.

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    42037: is it prime? Factors, square root, binary, Roman numeral | WordGPT