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The number 98932

98932 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 24733. Divisors (6): 1, 2, 4, 24733, 49466, 98932.

Number

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How to work it out

  1. 1

    What is special about 98932: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    98932 is composite. Its prime factorisation is

    98932=22×2473398932 = 2^{2} \times 24733
  3. 3

    The divisors add up to 173138; without 98932 itself that is 74206, so 98932 is deficient (74206 is less than 98932). Euler's totient φ(98932) = 49464 numbers up to 98932 share no factor with it.

  4. 4

    The digits of 98932 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98932 = 2^{2} \times 24733 \]

98932 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors173138
Euler totient φ(n)49464
Square9787540624
Cube968300969013568
Square root314.534577 (= 2√24733)
Digit sum / digital root31 / 4
Collatz steps to 1159
Scientific notation9.8932 × 10410^{4}

98932 in other forms

FormValue
In wordsninety-eight thousand nine hundred and thirty-two
Binary (base 2)11000001001110100
Octal (base 8)301164
Hexadecimal (base 16)18274
Base 312000201011
As time98932 seconds = 27 h 28 min 52 s

Is 98932 divisible by 2 to 12?

DivisorAnswerRule
2Yes (98932 ÷ 2 = 49466)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.
4Yes (98932 ÷ 4 = 24733)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)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 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 98932 a prime number?

No. 98932 = 222^{2} × 24733, so it is divisible by 2.

What are the factors of 98932?

1, 2, 4, 24733, 49466, 98932.

What is 98932 in binary?

11000001001110100 (hexadecimal 18274, octal 301164).

What is the square root of 98932?

About 314.5346, exactly 2√24733.

Is 98932 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 98932?

98932 is a happy number: repeatedly adding the squares of its digits reaches 1.

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