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The number 97331

97331 is a composite number with 4 divisors. Its prime factorisation is 13 × 7487. Divisors (4): 1, 13, 7487, 97331.

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How to work it out

  1. 1

    What is special about 97331: a semiprime: 13 × 7487, the product of two primes.

  2. 2

    97331 is composite. Its prime factorisation is

    97331=13×748797331 = 13 \times 7487
  3. 3

    The divisors add up to 104832; without 97331 itself that is 7501, so 97331 is deficient (7501 is less than 97331). Euler's totient φ(97331) = 89832 numbers up to 97331 share no factor with it.

  4. 4

    The digits of 97331 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97331 = 13 \times 7487 \]

97331 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors104832
Euler totient φ(n)89832
Square9473323561
Cube922048055515691
Square root311.979166
Digit sum / digital root23 / 5
Collatz steps to 1146
Scientific notation9.7331 × 10410^{4}

97331 in other forms

FormValue
In wordsninety-seven thousand three hundred and thirty-one
Binary (base 2)10111110000110011
Octal (base 8)276063
Hexadecimal (base 16)17C33
Base 311221111212
As time97331 seconds = 27 h 2 min 11 s

Is 97331 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 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 3)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 97331 a prime number?

No. 97331 = 13 × 7487, so it is divisible by 13.

What are the factors of 97331?

1, 13, 7487, 97331.

What is 97331 in binary?

10111110000110011 (hexadecimal 17C33, octal 276063).

What is the square root of 97331?

About 311.9792.

Is 97331 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 97331?

97331 is a semiprime: 13 × 7487, the product of two primes.

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    97331: is it prime? Factors, square root, binary, Roman numeral | WordGPT