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The number 40301

40301 is a composite number with 4 divisors. Its prime factorisation is 191 × 211. Divisors (4): 1, 191, 211, 40301.

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How to work it out

  1. 1

    What is special about 40301: a semiprime: 191 × 211, the product of two primes.

  2. 2

    40301 is composite. Its prime factorisation is

    40301=191×21140301 = 191 \times 211
  3. 3

    The divisors add up to 40704; without 40301 itself that is 403, so 40301 is deficient (403 is less than 40301). Euler's totient φ(40301) = 39900 numbers up to 40301 share no factor with it.

  4. 4

    The digits of 40301 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40301 = 191 \times 211 \]

40301 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40704
Euler totient φ(n)39900
Square1624170601
Cube65455699390901
Square root200.751090
Digit sum / digital root8 / 8
Collatz steps to 193
Scientific notation4.0301 × 10410^{4}

40301 in other forms

FormValue
In wordsforty thousand three hundred and one
Binary (base 2)1001110101101101
Octal (base 8)116555
Hexadecimal (base 16)9D6D
Base 32001021122
As time40301 seconds = 11 h 11 min 41 s

Is 40301 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 2)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 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 40301 a prime number?

No. 40301 = 191 × 211, so it is divisible by 191.

What are the factors of 40301?

1, 191, 211, 40301.

What is 40301 in binary?

1001110101101101 (hexadecimal 9D6D, octal 116555).

What is the square root of 40301?

About 200.7511.

Is 40301 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 40301?

40301 is a semiprime: 191 × 211, the product of two primes.

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