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The number 41003

41003 is a composite number with 4 divisors. Its prime factorisation is 131 × 313. Divisors (4): 1, 131, 313, 41003.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 41003: a semiprime: 131 × 313, the product of two primes.

  2. 2

    41003 is composite. Its prime factorisation is

    41003=131×31341003 = 131 \times 313
  3. 3

    The divisors add up to 41448; without 41003 itself that is 445, so 41003 is deficient (445 is less than 41003). Euler's totient φ(41003) = 40560 numbers up to 41003 share no factor with it.

  4. 4

    The digits of 41003 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 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41003 = 131 \times 313 \]

41003 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41448
Euler totient φ(n)40560
Square1681246009
Cube68936130107027
Square root202.491975
Digit sum / digital root8 / 8
Collatz steps to 162
Scientific notation4.1003 × 10410^{4}

41003 in other forms

FormValue
In wordsforty-one thousand and three
Binary (base 2)1010000000101011
Octal (base 8)120053
Hexadecimal (base 16)A02B
Base 32002020122
As time41003 seconds = 11 h 23 min 23 s

Is 41003 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 3)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.
7No (remainder 4)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.
9No (remainder 8)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 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41003 a prime number?

No. 41003 = 131 × 313, so it is divisible by 131.

What are the factors of 41003?

1, 131, 313, 41003.

What is 41003 in binary?

1010000000101011 (hexadecimal A02B, octal 120053).

What is the square root of 41003?

About 202.4920.

Is 41003 divisible by 3?

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

What is special about the number 41003?

41003 is a semiprime: 131 × 313, the product of two primes.

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