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The number 38857

38857 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 13 × 61. Divisors (12): 1, 7, 13, 49, 61, 91, 427, 637, 793, 2989, 5551, 38857.

Number

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How to work it out

  1. 1

    38857 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

    38857 is composite. Its prime factorisation is

    38857=72×13×6138857 = 7^{2} \times 13 \times 61
  3. 3

    The divisors add up to 49476; without 38857 itself that is 10619, so 38857 is deficient (10619 is less than 38857). Euler's totient φ(38857) = 30240 numbers up to 38857 share no factor with it.

  4. 4

    The digits of 38857 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38857 = 7^{2} \times 13 \times 61 \]

38857 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors49476
Euler totient φ(n)30240
Square1509866449
Cube58668880608793
Square root197.121790 (= 7√793)
Digit sum / digital root31 / 4
Collatz steps to 162
Scientific notation3.8857 × 10410^{4}

38857 in other forms

FormValue
In wordsthirty-eight thousand eight hundred and fifty-seven
Binary (base 2)1001011111001001
Octal (base 8)113711
Hexadecimal (base 16)97C9
Base 31222022011
As time38857 seconds = 10 h 47 min 37 s

Is 38857 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.
7Yes (38857 ÷ 7 = 5551)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 4)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 5)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 38857 a prime number?

No. 38857 = 727^{2} × 13 × 61, so it is divisible by 7.

What are the factors of 38857?

1, 7, 13, 49, 61, 91, 427, 637, 793, 2989, 5551, 38857.

What is 38857 in binary?

1001011111001001 (hexadecimal 97C9, octal 113711).

What is the square root of 38857?

About 197.1218, exactly 7√793.

Is 38857 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 38857?

It is a composite number with 12 divisors.

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    38857: is it prime? Factors, square root, binary, Roman numeral | WordGPT