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The number 97041

97041 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 4621. Divisors (8): 1, 3, 7, 21, 4621, 13863, 32347, 97041.

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How to work it out

  1. 1

    What is special about 97041: a Harshad number: divisible by its digit sum 21.

  2. 2

    97041 is composite. Its prime factorisation is

    97041=3×7×462197041 = 3 \times 7 \times 4621
  3. 3

    The divisors add up to 147904; without 97041 itself that is 50863, so 97041 is deficient (50863 is less than 97041). Euler's totient φ(97041) = 55440 numbers up to 97041 share no factor with it.

  4. 4

    The digits of 97041 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 128 steps to reach 1.

LaTeX source of the formulas on this page
\[ 97041 = 3 \times 7 \times 4621 \]

97041 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors147904
Euler totient φ(n)55440
Square9416955681
Cube913830796239921
Square root311.514045
Digit sum / digital root21 / 3
Collatz steps to 1128
Scientific notation9.7041 × 10410^{4}

97041 in other forms

FormValue
In wordsninety-seven thousand and forty-one
Binary (base 2)10111101100010001
Octal (base 8)275421
Hexadecimal (base 16)17B11
Base 311221010010
As time97041 seconds = 26 h 57 min 21 s

Is 97041 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 (97041 ÷ 3 = 32347)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (97041 ÷ 7 = 13863)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 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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 97041 a prime number?

No. 97041 = 3 × 7 × 4621, so it is divisible by 3.

What are the factors of 97041?

1, 3, 7, 21, 4621, 13863, 32347, 97041.

What is 97041 in binary?

10111101100010001 (hexadecimal 17B11, octal 275421).

What is the square root of 97041?

About 311.5140.

Is 97041 divisible by 3?

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

What is special about the number 97041?

97041 is a Harshad number: divisible by its digit sum 21.

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