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The number 40313

40313 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 443. Divisors (8): 1, 7, 13, 91, 443, 3101, 5759, 40313.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    40313 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

    40313 is composite. Its prime factorisation is

    40313=7×13×44340313 = 7 \times 13 \times 443
  3. 3

    The divisors add up to 49728; without 40313 itself that is 9415, so 40313 is deficient (9415 is less than 40313). Euler's totient φ(40313) = 31824 numbers up to 40313 share no factor with it.

  4. 4

    The digits of 40313 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40313 = 7 \times 13 \times 443 \]

40313 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors49728
Euler totient φ(n)31824
Square1625137969
Cube65514186944297
Square root200.780975
Digit sum / digital root11 / 2
Collatz steps to 1124
Scientific notation4.0313 × 10410^{4}

40313 in other forms

FormValue
In wordsforty thousand three hundred and thirteen
Binary (base 2)1001110101111001
Octal (base 8)116571
Hexadecimal (base 16)9D79
Base 32001022002
As time40313 seconds = 11 h 11 min 53 s

Is 40313 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 3)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.
7Yes (40313 ÷ 7 = 5759)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 40313 a prime number?

No. 40313 = 7 × 13 × 443, so it is divisible by 7.

What are the factors of 40313?

1, 7, 13, 91, 443, 3101, 5759, 40313.

What is 40313 in binary?

1001110101111001 (hexadecimal 9D79, octal 116571).

What is the square root of 40313?

About 200.7810.

Is 40313 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 40313?

It is a composite number with 8 divisors.

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    40313: is it prime? Factors, square root, binary, Roman numeral | WordGPT