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The number 97741

97741 is a composite number with 4 divisors. Its prime factorisation is 7 × 13963. Divisors (4): 1, 7, 13963, 97741.

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How to work it out

  1. 1

    What is special about 97741: a semiprime: 7 × 13963, the product of two primes.

  2. 2

    97741 is composite. Its prime factorisation is

    97741=7×1396397741 = 7 \times 13963
  3. 3

    The divisors add up to 111712; without 97741 itself that is 13971, so 97741 is deficient (13971 is less than 97741). Euler's totient φ(97741) = 83772 numbers up to 97741 share no factor with it.

  4. 4

    The digits of 97741 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97741 = 7 \times 13963 \]

97741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors111712
Euler totient φ(n)83772
Square9553303081
Cube933749396440021
Square root312.635571
Digit sum / digital root28 / 1
Collatz steps to 140
Scientific notation9.7741 × 10410^{4}

97741 in other forms

FormValue
In wordsninety-seven thousand seven hundred and forty-one
Binary (base 2)10111110111001101
Octal (base 8)276715
Hexadecimal (base 16)17DCD
Base 311222002001
As time97741 seconds = 27 h 9 min 1 s

Is 97741 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 1)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.
7Yes (97741 ÷ 7 = 13963)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 1)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 6)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 97741 a prime number?

No. 97741 = 7 × 13963, so it is divisible by 7.

What are the factors of 97741?

1, 7, 13963, 97741.

What is 97741 in binary?

10111110111001101 (hexadecimal 17DCD, octal 276715).

What is the square root of 97741?

About 312.6356.

Is 97741 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 97741?

97741 is a semiprime: 7 × 13963, the product of two primes.

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