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The number 339

339 is a composite number with 4 divisors. Its prime factorisation is 3 × 113. Divisors (4): 1, 3, 113, 339.

Number

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How to work it out

  1. 1

    What is special about 339: a semiprime: 3 × 113, the product of two primes.

  2. 2

    339 is composite. Its prime factorisation is

    339=3×113339 = 3 \times 113
  3. 3

    The divisors add up to 456; without 339 itself that is 117, so 339 is deficient (117 is less than 339). Euler's totient φ(339) = 224 numbers up to 339 share no factor with it.

  4. 4

    The digits of 339 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 339 = 3 \times 113 \]

339 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors456
Euler totient φ(n)224
Square114921
Cube38958219
Square root18.411953
Digit sum / digital root15 / 6
Collatz steps to 150
Scientific notation3.39 × 10210^{2}

339 in other forms

FormValue
In wordsthree hundred and thirty-nine
Roman numeralsCCCXXXIX
Binary (base 2)101010011
Octal (base 8)523
Hexadecimal (base 16)153
Base 3110120
As time339 seconds = 5 min 39 s

Is 339 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 (339 ÷ 3 = 113)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 3)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.
9No (remainder 6)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 9)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 339 a prime number?

No. 339 = 3 × 113, so it is divisible by 3.

What are the factors of 339?

1, 3, 113, 339.

What is 339 in binary?

101010011 (hexadecimal 153, octal 523).

What is the square root of 339?

About 18.4120.

What is 339 in Roman numerals?

CCCXXXIX.

Is 339 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 339?

339 is a semiprime: 3 × 113, the product of two primes.

All about 339

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