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The number 40059

40059 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 4451. Divisors (6): 1, 3, 9, 4451, 13353, 40059.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    40059 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    40059 is composite. Its prime factorisation is

    40059=32×445140059 = 3^{2} \times 4451
  3. 3

    The divisors add up to 57876; without 40059 itself that is 17817, so 40059 is deficient (17817 is less than 40059). Euler's totient φ(40059) = 26700 numbers up to 40059 share no factor with it.

  4. 4

    The digits of 40059 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40059 = 3^{2} \times 4451 \]

40059 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors57876
Euler totient φ(n)26700
Square1604723481
Cube64283617925379
Square root200.147446 (= 3√4451)
Digit sum / digital root18 / 9
Collatz steps to 167
Scientific notation4.0059 × 10410^{4}

40059 in other forms

FormValue
In wordsforty thousand and fifty-nine
Binary (base 2)1001110001111011
Octal (base 8)116173
Hexadecimal (base 16)9C7B
Base 32000221200
As time40059 seconds = 11 h 7 min 39 s

Is 40059 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 (40059 ÷ 3 = 13353)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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.
7No (remainder 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (40059 ÷ 9 = 4451)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40059 a prime number?

No. 40059 = 323^{2} × 4451, so it is divisible by 3.

What are the factors of 40059?

1, 3, 9, 4451, 13353, 40059.

What is 40059 in binary?

1001110001111011 (hexadecimal 9C7B, octal 116173).

What is the square root of 40059?

About 200.1474, exactly 3√4451.

Is 40059 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 40059?

It is a composite number with 6 divisors.

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    40059: is it prime? Factors, square root, binary, Roman numeral | WordGPT