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The number 97721

97721 is a composite number with 4 divisors. Its prime factorisation is 13 × 7517. Divisors (4): 1, 13, 7517, 97721.

Number

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How to work it out

  1. 1

    What is special about 97721: a semiprime: 13 × 7517, the product of two primes.

  2. 2

    97721 is composite. Its prime factorisation is

    97721=13×751797721 = 13 \times 7517
  3. 3

    The divisors add up to 105252; without 97721 itself that is 7531, so 97721 is deficient (7531 is less than 97721). Euler's totient φ(97721) = 90192 numbers up to 97721 share no factor with it.

  4. 4

    The digits of 97721 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 159 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97721 = 13 \times 7517 \]

97721 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors105252
Euler totient φ(n)90192
Square9549393841
Cube933176315536361
Square root312.603583
Digit sum / digital root26 / 8
Collatz steps to 1159
Scientific notation9.7721 × 10410^{4}

97721 in other forms

FormValue
In wordsninety-seven thousand seven hundred and twenty-one
Binary (base 2)10111110110111001
Octal (base 8)276671
Hexadecimal (base 16)17DB9
Base 311222001022
As time97721 seconds = 27 h 8 min 41 s

Is 97721 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 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 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 1)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 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97721 a prime number?

No. 97721 = 13 × 7517, so it is divisible by 13.

What are the factors of 97721?

1, 13, 7517, 97721.

What is 97721 in binary?

10111110110111001 (hexadecimal 17DB9, octal 276671).

What is the square root of 97721?

About 312.6036.

Is 97721 divisible by 3?

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

What is special about the number 97721?

97721 is a semiprime: 13 × 7517, the product of two primes.

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