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The number 97357

97357 is a composite number with 4 divisors. Its prime factorisation is 13 × 7489. Divisors (4): 1, 13, 7489, 97357.

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How to work it out

  1. 1

    What is special about 97357: a semiprime: 13 × 7489, the product of two primes.

  2. 2

    97357 is composite. Its prime factorisation is

    97357=13×748997357 = 13 \times 7489
  3. 3

    The divisors add up to 104860; without 97357 itself that is 7503, so 97357 is deficient (7503 is less than 97357). Euler's totient φ(97357) = 89856 numbers up to 97357 share no factor with it.

  4. 4

    The digits of 97357 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97357 = 13 \times 7489 \]

97357 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors104860
Euler totient φ(n)89856
Square9478385449
Cube922787172158293
Square root312.020833
Digit sum / digital root31 / 4
Collatz steps to 1159
Scientific notation9.7357 × 10410^{4}

97357 in other forms

FormValue
In wordsninety-seven thousand three hundred and fifty-seven
Binary (base 2)10111110001001101
Octal (base 8)276115
Hexadecimal (base 16)17C4D
Base 311221112211
As time97357 seconds = 27 h 2 min 37 s

Is 97357 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.
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 4)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 7)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 97357 a prime number?

No. 97357 = 13 × 7489, so it is divisible by 13.

What are the factors of 97357?

1, 13, 7489, 97357.

What is 97357 in binary?

10111110001001101 (hexadecimal 17C4D, octal 276115).

What is the square root of 97357?

About 312.0208.

Is 97357 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 97357?

97357 is a semiprime: 13 × 7489, the product of two primes.

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