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The number 499

499 is the 95th prime number. Its only divisors are 1 and 499.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 499: the 95th prime number.

  2. 2

    499 is prime, so its only factors are 1 and 499. It is the 95th prime; the next prime is 503 and the one before is 491.

  3. 3

    The divisors add up to 500; without 499 itself that is 1, so 499 is deficient (1 is less than 499). Euler's totient φ(499) = 498 numbers up to 499 share no factor with it.

  4. 4

    The digits of 499 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.

499 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors500
Euler totient φ(n)498
Square249001
Cube124251499
Square root22.338308
Digit sum / digital root22 / 4
Collatz steps to 148
Scientific notation4.99 × 10210^{2}

499 in other forms

FormValue
In wordsfour hundred and ninety-nine
Roman numeralsCDXCIX
Binary (base 2)111110011
Octal (base 8)763
Hexadecimal (base 16)1F3
Base 3200111
As time499 seconds = 8 min 19 s

Is 499 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 2)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 4)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 4)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 499 a prime number?

Yes. 499 is divisible only by 1 and itself.

What are the factors of 499?

1, 499.

What is 499 in binary?

111110011 (hexadecimal 1F3, octal 763).

What is the square root of 499?

About 22.3383.

What is 499 in Roman numerals?

CDXCIX.

Is 499 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 499?

499 is the 95th prime number.

All about 499

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