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The number 40729

40729 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 241. Divisors (6): 1, 13, 169, 241, 3133, 40729.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    40729 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

    40729 is composite. Its prime factorisation is

    40729=132Ɨ24140729 = 13^{2} \times 241
  3. 3

    The divisors add up to 44286; without 40729 itself that is 3557, so 40729 is deficient (3557 is less than 40729). Euler's totient φ(40729) = 37440 numbers up to 40729 share no factor with it.

  4. 4

    The digits of 40729 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40729 = 13^{2} \times 241 \]

40729 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors44286
Euler totient φ(n)37440
Square1658851441
Cube67563360340489
Square root201.814271 (= 13√241)
Digit sum / digital root22 / 4
Collatz steps to 1150
Scientific notation4.0729 Ɨ 10410^{4}

40729 in other forms

FormValue
In wordsforty thousand seven hundred and twenty-nine
Binary (base 2)1001111100011001
Octal (base 8)117431
Hexadecimal (base 16)9F19
Base 32001212111
As time40729 seconds = 11 h 18 min 49 s

Is 40729 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 4)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 3)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 4)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 7)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 40729 a prime number?

No. 40729 = 13213^{2} Ɨ 241, so it is divisible by 13.

What are the factors of 40729?

1, 13, 169, 241, 3133, 40729.

What is 40729 in binary?

1001111100011001 (hexadecimal 9F19, octal 117431).

What is the square root of 40729?

About 201.8143, exactly 13√241.

Is 40729 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 40729?

It is a composite number with 6 divisors.

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    40729: is it prime? Factors, square root, binary, Roman numeral | WordGPT