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The number 38027

38027 is a composite number with 4 divisors. Its prime factorisation is 11 × 3457. Divisors (4): 1, 11, 3457, 38027.

Number

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How to work it out

  1. 1

    What is special about 38027: a semiprime: 11 × 3457, the product of two primes.

  2. 2

    38027 is composite. Its prime factorisation is

    38027=11×345738027 = 11 \times 3457
  3. 3

    The divisors add up to 41496; without 38027 itself that is 3469, so 38027 is deficient (3469 is less than 38027). Euler's totient φ(38027) = 34560 numbers up to 38027 share no factor with it.

  4. 4

    The digits of 38027 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38027 = 11 \times 3457 \]

38027 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41496
Euler totient φ(n)34560
Square1446052729
Cube54989047125683
Square root195.005128
Digit sum / digital root20 / 2
Collatz steps to 180
Scientific notation3.8027 × 10410^{4}

38027 in other forms

FormValue
In wordsthirty-eight thousand and twenty-seven
Binary (base 2)1001010010001011
Octal (base 8)112213
Hexadecimal (base 16)948B
Base 31221011102
As time38027 seconds = 10 h 33 min 47 s

Is 38027 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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.
11Yes (38027 ÷ 11 = 3457)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38027 a prime number?

No. 38027 = 11 × 3457, so it is divisible by 11.

What are the factors of 38027?

1, 11, 3457, 38027.

What is 38027 in binary?

1001010010001011 (hexadecimal 948B, octal 112213).

What is the square root of 38027?

About 195.0051.

Is 38027 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 38027?

38027 is a semiprime: 11 × 3457, the product of two primes.

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    38027: is it prime? Factors, square root, binary, Roman numeral | WordGPT