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The number 40321

40321 is a composite number with 4 divisors. Its prime factorisation is 61 × 661. Divisors (4): 1, 61, 661, 40321.

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How to work it out

  1. 1

    What is special about 40321: a semiprime: 61 × 661, the product of two primes.

  2. 2

    40321 is composite. Its prime factorisation is

    40321=61×66140321 = 61 \times 661
  3. 3

    The divisors add up to 41044; without 40321 itself that is 723, so 40321 is deficient (723 is less than 40321). Euler's totient φ(40321) = 39600 numbers up to 40321 share no factor with it.

  4. 4

    The digits of 40321 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40321 = 61 \times 661 \]

40321 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41044
Euler totient φ(n)39600
Square1625783041
Cube65553197996161
Square root200.800896
Digit sum / digital root10 / 1
Collatz steps to 193
Scientific notation4.0321 × 10410^{4}

40321 in other forms

FormValue
In wordsforty thousand three hundred and twenty-one
Binary (base 2)1001110110000001
Octal (base 8)116601
Hexadecimal (base 16)9D81
Base 32001022101
As time40321 seconds = 11 h 12 min 1 s

Is 40321 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.
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 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 40321 a prime number?

No. 40321 = 61 × 661, so it is divisible by 61.

What are the factors of 40321?

1, 61, 661, 40321.

What is 40321 in binary?

1001110110000001 (hexadecimal 9D81, octal 116601).

What is the square root of 40321?

About 200.8009.

Is 40321 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 40321?

40321 is a semiprime: 61 × 661, the product of two primes.

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    40321: is it prime? Factors, square root, binary, Roman numeral | WordGPT