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The number 98841

98841 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 701. Divisors (8): 1, 3, 47, 141, 701, 2103, 32947, 98841.

Number

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How to work it out

  1. 1

    What is special about 98841: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    98841 is composite. Its prime factorisation is

    98841=3×47×70198841 = 3 \times 47 \times 701
  3. 3

    The divisors add up to 134784; without 98841 itself that is 35943, so 98841 is deficient (35943 is less than 98841). Euler's totient φ(98841) = 64400 numbers up to 98841 share no factor with it.

  4. 4

    The digits of 98841 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98841 = 3 \times 47 \times 701 \]

98841 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors134784
Euler totient φ(n)64400
Square9769543281
Cube965631427437321
Square root314.389885
Digit sum / digital root30 / 3
Collatz steps to 1115
Scientific notation9.8841 × 10410^{4}

98841 in other forms

FormValue
In wordsninety-eight thousand eight hundred and forty-one
Binary (base 2)11000001000011001
Octal (base 8)301031
Hexadecimal (base 16)18219
Base 312000120210
As time98841 seconds = 27 h 27 min 21 s

Is 98841 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).
3Yes (98841 ÷ 3 = 32947)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 3)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98841 a prime number?

No. 98841 = 3 × 47 × 701, so it is divisible by 3.

What are the factors of 98841?

1, 3, 47, 141, 701, 2103, 32947, 98841.

What is 98841 in binary?

11000001000011001 (hexadecimal 18219, octal 301031).

What is the square root of 98841?

About 314.3899.

Is 98841 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 98841?

98841 is a happy number: repeatedly adding the squares of its digits reaches 1.

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