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The number 439

439 is the 85th prime number. Its only divisors are 1 and 439.

Number

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How to work it out

  1. 1

    What is special about 439: the 85th prime number.

  2. 2

    439 is prime, so its only factors are 1 and 439. It is the 85th prime; the next prime is 443 and the one before is 433.

  3. 3

    The divisors add up to 440; without 439 itself that is 1, so 439 is deficient (1 is less than 439). Euler's totient φ(439) = 438 numbers up to 439 share no factor with it.

  4. 4

    The digits of 439 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

439 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors440
Euler totient φ(n)438
Square192721
Cube84604519
Square root20.952327
Digit sum / digital root16 / 7
Collatz steps to 153
Scientific notation4.39 × 10210^{2}

439 in other forms

FormValue
In wordsfour hundred and thirty-nine
Roman numeralsCDXXXIX
Binary (base 2)110110111
Octal (base 8)667
Hexadecimal (base 16)1B7
Base 3121021
As time439 seconds = 7 min 19 s

Is 439 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 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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 7)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 439 a prime number?

Yes. 439 is divisible only by 1 and itself.

What are the factors of 439?

1, 439.

What is 439 in binary?

110110111 (hexadecimal 1B7, octal 667).

What is the square root of 439?

About 20.9523.

What is 439 in Roman numerals?

CDXXXIX.

Is 439 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 439?

439 is the 85th prime number.

All about 439

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