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The number 98381

98381 is a composite number with 4 divisors. Its prime factorisation is 131 × 751. Divisors (4): 1, 131, 751, 98381.

Number

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How to work it out

  1. 1

    What is special about 98381: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 751, the product of two primes.

  2. 2

    98381 is composite. Its prime factorisation is

    98381=131×75198381 = 131 \times 751
  3. 3

    The divisors add up to 99264; without 98381 itself that is 883, so 98381 is deficient (883 is less than 98381). Euler's totient φ(98381) = 97500 numbers up to 98381 share no factor with it.

  4. 4

    The digits of 98381 add up to 29, 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.

LaTeX source of the formulas on this page
\[ 98381 = 131 \times 751 \]

98381 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors99264
Euler totient φ(n)97500
Square9678821161
Cube952212104640341
Square root313.657456
Digit sum / digital root29 / 2
Collatz steps to 153
Scientific notation9.8381 × 10410^{4}

98381 in other forms

FormValue
In wordsninety-eight thousand three hundred and eighty-one
Binary (base 2)11000000001001101
Octal (base 8)300115
Hexadecimal (base 16)1804D
Base 311222221202
As time98381 seconds = 27 h 19 min 41 s

Is 98381 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 5)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98381 a prime number?

No. 98381 = 131 × 751, so it is divisible by 131.

What are the factors of 98381?

1, 131, 751, 98381.

What is 98381 in binary?

11000000001001101 (hexadecimal 1804D, octal 300115).

What is the square root of 98381?

About 313.6575.

Is 98381 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 98381?

98381 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 131 × 751, the product of two primes.

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