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The number 97133

97133 is a composite number with 4 divisors. Its prime factorisation is 137 × 709. Divisors (4): 1, 137, 709, 97133.

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How to work it out

  1. 1

    What is special about 97133: a semiprime: 137 × 709, the product of two primes.

  2. 2

    97133 is composite. Its prime factorisation is

    97133=137×70997133 = 137 \times 709
  3. 3

    The divisors add up to 97980; without 97133 itself that is 847, so 97133 is deficient (847 is less than 97133). Euler's totient φ(97133) = 96288 numbers up to 97133 share no factor with it.

  4. 4

    The digits of 97133 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 190 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97133 = 137 \times 709 \]

97133 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors97980
Euler totient φ(n)96288
Square9434819689
Cube916432340851637
Square root311.661676
Digit sum / digital root23 / 5
Collatz steps to 1190
Scientific notation9.7133 × 10410^{4}

97133 in other forms

FormValue
In wordsninety-seven thousand one hundred and thirty-three
Binary (base 2)10111101101101101
Octal (base 8)275555
Hexadecimal (base 16)17B6D
Base 311221020112
As time97133 seconds = 26 h 58 min 53 s

Is 97133 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)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 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 5)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 3)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97133 a prime number?

No. 97133 = 137 × 709, so it is divisible by 137.

What are the factors of 97133?

1, 137, 709, 97133.

What is 97133 in binary?

10111101101101101 (hexadecimal 17B6D, octal 275555).

What is the square root of 97133?

About 311.6617.

Is 97133 divisible by 3?

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

What is special about the number 97133?

97133 is a semiprime: 137 × 709, the product of two primes.

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