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The number 38079

38079 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4231. Divisors (6): 1, 3, 9, 4231, 12693, 38079.

Number

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How to work it out

  1. 1

    What is special about 38079: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    38079 is composite. Its prime factorisation is

    38079=32×423138079 = 3^{2} \times 4231
  3. 3

    The divisors add up to 55016; without 38079 itself that is 16937, so 38079 is deficient (16937 is less than 38079). Euler's totient φ(38079) = 25380 numbers up to 38079 share no factor with it.

  4. 4

    The digits of 38079 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 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38079 = 3^{2} \times 4231 \]

38079 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors55016
Euler totient φ(n)25380
Square1450010241
Cube55214939967039
Square root195.138412 (= 3√4231)
Digit sum / digital root27 / 9
Collatz steps to 1106
Scientific notation3.8079 × 10410^{4}

38079 in other forms

FormValue
In wordsthirty-eight thousand and seventy-nine
Binary (base 2)1001010010111111
Octal (base 8)112277
Hexadecimal (base 16)94BF
Base 31221020100
As time38079 seconds = 10 h 34 min 39 s

Is 38079 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 (38079 ÷ 3 = 12693)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 4)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 6)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (38079 ÷ 9 = 4231)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 38079 a prime number?

No. 38079 = 323^{2} × 4231, so it is divisible by 3.

What are the factors of 38079?

1, 3, 9, 4231, 12693, 38079.

What is 38079 in binary?

1001010010111111 (hexadecimal 94BF, octal 112277).

What is the square root of 38079?

About 195.1384, exactly 3√4231.

Is 38079 divisible by 3?

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

What is special about the number 38079?

38079 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    38079: is it prime? Factors, square root, binary, Roman numeral | WordGPT