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The number 38137

38137 is a composite number with 4 divisors. Its prime factorisation is 11 × 3467. Divisors (4): 1, 11, 3467, 38137.

Number

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How to work it out

  1. 1

    What is special about 38137: a semiprime: 11 × 3467, the product of two primes.

  2. 2

    38137 is composite. Its prime factorisation is

    38137=11×346738137 = 11 \times 3467
  3. 3

    The divisors add up to 41616; without 38137 itself that is 3479, so 38137 is deficient (3479 is less than 38137). Euler's totient φ(38137) = 34660 numbers up to 38137 share no factor with it.

  4. 4

    The digits of 38137 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38137 = 11 \times 3467 \]

38137 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41616
Euler totient φ(n)34660
Square1454430769
Cube55467626237353
Square root195.286968
Digit sum / digital root22 / 4
Collatz steps to 154
Scientific notation3.8137 × 10410^{4}

38137 in other forms

FormValue
In wordsthirty-eight thousand one hundred and thirty-seven
Binary (base 2)1001010011111001
Octal (base 8)112371
Hexadecimal (base 16)94F9
Base 31221022111
As time38137 seconds = 10 h 35 min 37 s

Is 38137 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 1)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.
11Yes (38137 ÷ 11 = 3467)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 38137 a prime number?

No. 38137 = 11 × 3467, so it is divisible by 11.

What are the factors of 38137?

1, 11, 3467, 38137.

What is 38137 in binary?

1001010011111001 (hexadecimal 94F9, octal 112371).

What is the square root of 38137?

About 195.2870.

Is 38137 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 38137?

38137 is a semiprime: 11 × 3467, the product of two primes.

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    38137: is it prime? Factors, square root, binary, Roman numeral | WordGPT