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The number 98497

98497 is a composite number with 4 divisors. Its prime factorisation is 7 × 14071. Divisors (4): 1, 7, 14071, 98497.

Number

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How to work it out

  1. 1

    What is special about 98497: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 14071, the product of two primes.

  2. 2

    98497 is composite. Its prime factorisation is

    98497=7×1407198497 = 7 \times 14071
  3. 3

    The divisors add up to 112576; without 98497 itself that is 14079, so 98497 is deficient (14079 is less than 98497). Euler's totient φ(98497) = 84420 numbers up to 98497 share no factor with it.

  4. 4

    The digits of 98497 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.

LaTeX source of the formulas on this page
\[ 98497 = 7 \times 14071 \]

98497 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors112576
Euler totient φ(n)84420
Square9701659009
Cube955584307409473
Square root313.842317
Digit sum / digital root37 / 1
Collatz steps to 184
Scientific notation9.8497 × 10410^{4}

98497 in other forms

FormValue
In wordsninety-eight thousand four hundred and ninety-seven
Binary (base 2)11000000011000001
Octal (base 8)300301
Hexadecimal (base 16)180C1
Base 312000010001
As time98497 seconds = 27 h 21 min 37 s

Is 98497 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 2)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 (98497 ÷ 7 = 14071)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 98497 a prime number?

No. 98497 = 7 × 14071, so it is divisible by 7.

What are the factors of 98497?

1, 7, 14071, 98497.

What is 98497 in binary?

11000000011000001 (hexadecimal 180C1, octal 300301).

What is the square root of 98497?

About 313.8423.

Is 98497 divisible by 3?

No. Its digits add up to 37, which is not a multiple of 3.

What is special about the number 98497?

98497 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 14071, the product of two primes.

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    98497: is it prime? Factors, square root, binary, Roman numeral | WordGPT