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The number 97311

97311 is a composite number with 8 divisors. Its prime factorisation is 3 × 163 × 199. Divisors (8): 1, 3, 163, 199, 489, 597, 32437, 97311.

Number

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How to work it out

  1. 1

    97311 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

    97311 is composite. Its prime factorisation is

    97311=3×163×19997311 = 3 \times 163 \times 199
  3. 3

    The divisors add up to 131200; without 97311 itself that is 33889, so 97311 is deficient (33889 is less than 97311). Euler's totient φ(97311) = 64152 numbers up to 97311 share no factor with it.

  4. 4

    The digits of 97311 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97311 = 3 \times 163 \times 199 \]

97311 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors131200
Euler totient φ(n)64152
Square9469430721
Cube921479772891231
Square root311.947111
Digit sum / digital root21 / 3
Collatz steps to 1159
Scientific notation9.7311 × 10410^{4}

97311 in other forms

FormValue
In wordsninety-seven thousand three hundred and eleven
Binary (base 2)10111110000011111
Octal (base 8)276037
Hexadecimal (base 16)17C1F
Base 311221111010
As time97311 seconds = 27 h 1 min 51 s

Is 97311 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 (97311 ÷ 3 = 32437)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 7)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97311 a prime number?

No. 97311 = 3 × 163 × 199, so it is divisible by 3.

What are the factors of 97311?

1, 3, 163, 199, 489, 597, 32437, 97311.

What is 97311 in binary?

10111110000011111 (hexadecimal 17C1F, octal 276037).

What is the square root of 97311?

About 311.9471.

Is 97311 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 97311?

It is a composite number with 8 divisors.

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    97311: is it prime? Factors, square root, binary, Roman numeral | WordGPT