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The number 98413

98413 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 827. Divisors (8): 1, 7, 17, 119, 827, 5789, 14059, 98413.

Number

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How to work it out

  1. 1

    98413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    98413 is composite. Its prime factorisation is

    98413=7×17×82798413 = 7 \times 17 \times 827
  3. 3

    The divisors add up to 119232; without 98413 itself that is 20819, so 98413 is deficient (20819 is less than 98413). Euler's totient φ(98413) = 79296 numbers up to 98413 share no factor with it.

  4. 4

    The digits of 98413 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98413 = 7 \times 17 \times 827 \]

98413 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors119232
Euler totient φ(n)79296
Square9685118569
Cube953141573730997
Square root313.708463
Digit sum / digital root25 / 7
Collatz steps to 197
Scientific notation9.8413 × 10410^{4}

98413 in other forms

FormValue
In wordsninety-eight thousand four hundred and thirteen
Binary (base 2)11000000001101101
Octal (base 8)300155
Hexadecimal (base 16)1806D
Base 311222222221
As time98413 seconds = 27 h 20 min 13 s

Is 98413 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.
7Yes (98413 ÷ 7 = 14059)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 7)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 98413 a prime number?

No. 98413 = 7 × 17 × 827, so it is divisible by 7.

What are the factors of 98413?

1, 7, 17, 119, 827, 5789, 14059, 98413.

What is 98413 in binary?

11000000001101101 (hexadecimal 1806D, octal 300155).

What is the square root of 98413?

About 313.7085.

Is 98413 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 98413?

It is a composite number with 8 divisors.

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    98413: is it prime? Factors, square root, binary, Roman numeral | WordGPT