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The number 38441

38441 is a composite number with 4 divisors. Its prime factorisation is 13 × 2957. Divisors (4): 1, 13, 2957, 38441.

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How to work it out

  1. 1

    What is special about 38441: a semiprime: 13 × 2957, the product of two primes.

  2. 2

    38441 is composite. Its prime factorisation is

    38441=13×295738441 = 13 \times 2957
  3. 3

    The divisors add up to 41412; without 38441 itself that is 2971, so 38441 is deficient (2971 is less than 38441). Euler's totient φ(38441) = 35472 numbers up to 38441 share no factor with it.

  4. 4

    The digits of 38441 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 230 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38441 = 13 \times 2957 \]

38441 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41412
Euler totient φ(n)35472
Square1477710481
Cube56804668600121
Square root196.063765
Digit sum / digital root20 / 2
Collatz steps to 1230
Scientific notation3.8441 × 10410^{4}

38441 in other forms

FormValue
In wordsthirty-eight thousand four hundred and forty-one
Binary (base 2)1001011000101001
Octal (base 8)113051
Hexadecimal (base 16)9629
Base 31221201202
As time38441 seconds = 10 h 40 min 41 s

Is 38441 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 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 1)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38441 a prime number?

No. 38441 = 13 × 2957, so it is divisible by 13.

What are the factors of 38441?

1, 13, 2957, 38441.

What is 38441 in binary?

1001011000101001 (hexadecimal 9629, octal 113051).

What is the square root of 38441?

About 196.0638.

Is 38441 divisible by 3?

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

What is special about the number 38441?

38441 is a semiprime: 13 × 2957, the product of two primes.

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    38441: is it prime? Factors, square root, binary, Roman numeral | WordGPT