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The number 39

39 is a composite number with 4 divisors. Its prime factorisation is 3 × 13. Divisors (4): 1, 3, 13, 39.

Number

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How to work it out

  1. 1

    What is special about 39: a semiprime: 3 × 13, the product of two primes.

  2. 2

    39 is composite. Its prime factorisation is

    39=3×1339 = 3 \times 13
  3. 3

    The divisors add up to 56; without 39 itself that is 17, so 39 is deficient (17 is less than 39). Euler's totient φ(39) = 24 numbers up to 39 share no factor with it.

  4. 4

    The digits of 39 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39 = 3 \times 13 \]

39 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors56
Euler totient φ(n)24
Square1521
Cube59319
Square root6.244998
Digit sum / digital root12 / 3
Collatz steps to 134
Scientific notation3.9 × 10110^{1}

39 in other forms

FormValue
In wordsthirty-nine
Roman numeralsXXXIX
Binary (base 2)100111
Octal (base 8)47
Hexadecimal (base 16)27
Base 31110
As time39 seconds

Is 39 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 (39 ÷ 3 = 13)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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 6)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 39 a prime number?

No. 39 = 3 × 13, so it is divisible by 3.

What are the factors of 39?

1, 3, 13, 39.

What is 39 in binary?

100111 (hexadecimal 27, octal 47).

What is the square root of 39?

About 6.2450.

What is 39 in Roman numerals?

XXXIX.

Is 39 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 39?

39 is a semiprime: 3 × 13, the product of two primes.

All about 39

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