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The number 479

479 is the 92nd prime number. Its only divisors are 1 and 479.

Number

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How to work it out

  1. 1

    What is special about 479: the 92nd prime number.

  2. 2

    479 is prime, so its only factors are 1 and 479. It is the 92nd prime; the next prime is 487 and the one before is 467.

  3. 3

    The divisors add up to 480; without 479 itself that is 1, so 479 is deficient (1 is less than 479). Euler's totient φ(479) = 478 numbers up to 479 share no factor with it.

  4. 4

    The digits of 479 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.

479 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors480
Euler totient φ(n)478
Square229441
Cube109902239
Square root21.886069
Digit sum / digital root20 / 2
Collatz steps to 153
Scientific notation4.79 × 10210^{2}

479 in other forms

FormValue
In wordsfour hundred and seventy-nine
Roman numeralsCDLXXIX
Binary (base 2)111011111
Octal (base 8)737
Hexadecimal (base 16)1DF
Base 3122202
As time479 seconds = 7 min 59 s

Is 479 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 2)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 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 479 a prime number?

Yes. 479 is divisible only by 1 and itself.

What are the factors of 479?

1, 479.

What is 479 in binary?

111011111 (hexadecimal 1DF, octal 737).

What is the square root of 479?

About 21.8861.

What is 479 in Roman numerals?

CDLXXIX.

Is 479 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 479?

479 is the 92nd prime number.

All about 479

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