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The number 14713

14713 is the 1721st prime number. Its only divisors are 1 and 14713.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 14713: the 1721st prime number.

  2. 2

    14713 is prime, so its only factors are 1 and 14713. It is the 1721st prime; the next prime is 14717 and the one before is 14699.

  3. 3

    The divisors add up to 14714; without 14713 itself that is 1, so 14713 is deficient (1 is less than 14713). Euler's totient φ(14713) = 14712 numbers up to 14713 share no factor with it.

  4. 4

    The digits of 14713 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 102 steps to reach 1.

14713 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors14714
Euler totient φ(n)14712
Square216472369
Cube3184957965097
Square root121.297156
Digit sum / digital root16 / 7
Collatz steps to 1102
Scientific notation1.4713 × 10410^{4}

14713 in other forms

FormValue
In wordsfourteen thousand seven hundred and thirteen
Binary (base 2)11100101111001
Octal (base 8)34571
Hexadecimal (base 16)3979
Base 3202011221
As time14713 seconds = 4 h 5 min 13 s

Is 14713 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 6)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 1)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 3)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 14713 a prime number?

Yes. 14713 is divisible only by 1 and itself.

What are the factors of 14713?

1, 14713.

What is 14713 in binary?

11100101111001 (hexadecimal 3979, octal 34571).

What is the square root of 14713?

About 121.2972.

Is 14713 divisible by 3?

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

What is special about the number 14713?

14713 is the 1721st prime number.

All about 14713

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    14713: is it prime? Factors, square root, binary, Roman numeral | WordGPT