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The number 38691

38691 is a composite number with 8 divisors. Its prime factorisation is 333^{3} × 1433. Divisors (8): 1, 3, 9, 27, 1433, 4299, 12897, 38691.

Number

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How to work it out

  1. 1

    What is special about 38691: a Harshad number: divisible by its digit sum 27.

  2. 2

    38691 is composite. Its prime factorisation is

    38691=33×143338691 = 3^{3} \times 1433
  3. 3

    The divisors add up to 57360; without 38691 itself that is 18669, so 38691 is deficient (18669 is less than 38691). Euler's totient φ(38691) = 25776 numbers up to 38691 share no factor with it.

  4. 4

    The digits of 38691 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38691 = 3^{3} \times 1433 \]

38691 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors57360
Euler totient φ(n)25776
Square1496993481
Cube57920174773371
Square root196.700280 (= 3√4299)
Digit sum / digital root27 / 9
Collatz steps to 162
Scientific notation3.8691 × 10410^{4}

38691 in other forms

FormValue
In wordsthirty-eight thousand six hundred and ninety-one
Binary (base 2)1001011100100011
Octal (base 8)113443
Hexadecimal (base 16)9723
Base 31222002000
As time38691 seconds = 10 h 44 min 51 s

Is 38691 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).
3Yes (38691 ÷ 3 = 12897)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (38691 ÷ 9 = 4299)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38691 a prime number?

No. 38691 = 333^{3} × 1433, so it is divisible by 3.

What are the factors of 38691?

1, 3, 9, 27, 1433, 4299, 12897, 38691.

What is 38691 in binary?

1001011100100011 (hexadecimal 9723, octal 113443).

What is the square root of 38691?

About 196.7003, exactly 3√4299.

Is 38691 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 38691?

38691 is a Harshad number: divisible by its digit sum 27.

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    38691: is it prime? Factors, square root, binary, Roman numeral | WordGPT