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The number 97424

97424 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 6089. Divisors (10): 1, 2, 4, 8, 16, 6089, 12178, 24356, 48712, 97424.

Number

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How to work it out

  1. 1

    97424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    97424 is composite. Its prime factorisation is

    97424=24×608997424 = 2^{4} \times 6089
  3. 3

    The divisors add up to 188790; without 97424 itself that is 91366, so 97424 is deficient (91366 is less than 97424). Euler's totient φ(97424) = 48704 numbers up to 97424 share no factor with it.

  4. 4

    The digits of 97424 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97424 = 2^{4} \times 6089 \]

97424 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors188790
Euler totient φ(n)48704
Square9491435776
Cube924693639041024
Square root312.128179 (= 4√6089)
Digit sum / digital root26 / 8
Collatz steps to 166
Scientific notation9.7424 × 10410^{4}

97424 in other forms

FormValue
In wordsninety-seven thousand four hundred and twenty-four
Binary (base 2)10111110010010000
Octal (base 8)276220
Hexadecimal (base 16)17C90
Base 311221122022
As time97424 seconds = 27 h 3 min 44 s

Is 97424 divisible by 2 to 12?

DivisorAnswerRule
2Yes (97424 ÷ 2 = 48712)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.
4Yes (97424 ÷ 4 = 24356)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (97424 ÷ 8 = 12178)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97424 a prime number?

No. 97424 = 242^{4} × 6089, so it is divisible by 2.

What are the factors of 97424?

1, 2, 4, 8, 16, 6089, 12178, 24356, 48712, 97424.

What is 97424 in binary?

10111110010010000 (hexadecimal 17C90, octal 276220).

What is the square root of 97424?

About 312.1282, exactly 4√6089.

Is 97424 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 97424?

It is a composite number with 10 divisors.

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    97424: is it prime? Factors, square root, binary, Roman numeral | WordGPT