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The number 98831

98831 is a composite number with 4 divisors. Its prime factorisation is 23 × 4297. Divisors (4): 1, 23, 4297, 98831.

Number

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How to work it out

  1. 1

    What is special about 98831: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4297, the product of two primes.

  2. 2

    98831 is composite. Its prime factorisation is

    98831=23×429798831 = 23 \times 4297
  3. 3

    The divisors add up to 103152; without 98831 itself that is 4321, so 98831 is deficient (4321 is less than 98831). Euler's totient φ(98831) = 94512 numbers up to 98831 share no factor with it.

  4. 4

    The digits of 98831 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 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98831 = 23 \times 4297 \]

98831 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors103152
Euler totient φ(n)94512
Square9767566561
Cube965338370790191
Square root314.373981
Digit sum / digital root29 / 2
Collatz steps to 1146
Scientific notation9.8831 × 10410^{4}

98831 in other forms

FormValue
In wordsninety-eight thousand eight hundred and thirty-one
Binary (base 2)11000001000001111
Octal (base 8)301017
Hexadecimal (base 16)1820F
Base 312000120102
As time98831 seconds = 27 h 27 min 11 s

Is 98831 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 3)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 5)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 7)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98831 a prime number?

No. 98831 = 23 × 4297, so it is divisible by 23.

What are the factors of 98831?

1, 23, 4297, 98831.

What is 98831 in binary?

11000001000001111 (hexadecimal 1820F, octal 301017).

What is the square root of 98831?

About 314.3740.

Is 98831 divisible by 3?

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

What is special about the number 98831?

98831 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 4297, the product of two primes.

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