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The number 8413

8413 is a composite number with 4 divisors. Its prime factorisation is 47 × 179. Divisors (4): 1, 47, 179, 8413.

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How to work it out

  1. 1

    What is special about 8413: a semiprime: 47 × 179, the product of two primes.

  2. 2

    8413 is composite. Its prime factorisation is

    8413=47×1798413 = 47 \times 179
  3. 3

    The divisors add up to 8640; without 8413 itself that is 227, so 8413 is deficient (227 is less than 8413). Euler's totient φ(8413) = 8188 numbers up to 8413 share no factor with it.

  4. 4

    The digits of 8413 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 96 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8413 = 47 \times 179 \]

8413 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors8640
Euler totient φ(n)8188
Square70778569
Cube595460100997
Square root91.722407
Digit sum / digital root16 / 7
Collatz steps to 196
Scientific notation8.413 × 10310^{3}

8413 in other forms

FormValue
In wordseight thousand four hundred and thirteen
Binary (base 2)10000011011101
Octal (base 8)20335
Hexadecimal (base 16)20DD
Base 3102112121
As time8413 seconds = 2 h 20 min 13 s

Is 8413 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 5)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 9)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 8413 a prime number?

No. 8413 = 47 × 179, so it is divisible by 47.

What are the factors of 8413?

1, 47, 179, 8413.

What is 8413 in binary?

10000011011101 (hexadecimal 20DD, octal 20335).

What is the square root of 8413?

About 91.7224.

Is 8413 divisible by 3?

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

What is special about the number 8413?

8413 is a semiprime: 47 × 179, the product of two primes.

All about 8413

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