WordGPT

The number 47003

47003 is a composite number with 4 divisors. Its prime factorisation is 11 × 4273. Divisors (4): 1, 11, 4273, 47003.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 47003: a semiprime: 11 × 4273, the product of two primes.

  2. 2

    47003 is composite. Its prime factorisation is

    47003=11×427347003 = 11 \times 4273
  3. 3

    The divisors add up to 51288; without 47003 itself that is 4285, so 47003 is deficient (4285 is less than 47003). Euler's totient φ(47003) = 42720 numbers up to 47003 share no factor with it.

  4. 4

    The digits of 47003 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47003 = 11 \times 4273 \]

47003 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors51288
Euler totient φ(n)42720
Square2209282009
Cube103842882269027
Square root216.801753
Digit sum / digital root14 / 5
Collatz steps to 183
Scientific notation4.7003 × 10410^{4}

47003 in other forms

FormValue
In wordsforty-seven thousand and three
Binary (base 2)1011011110011011
Octal (base 8)133633
Hexadecimal (base 16)B79B
Base 32101110212
As time47003 seconds = 13 h 3 min 23 s

Is 47003 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 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.
9No (remainder 5)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.
11Yes (47003 ÷ 11 = 4273)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 47003 a prime number?

No. 47003 = 11 × 4273, so it is divisible by 11.

What are the factors of 47003?

1, 11, 4273, 47003.

What is 47003 in binary?

1011011110011011 (hexadecimal B79B, octal 133633).

What is the square root of 47003?

About 216.8018.

Is 47003 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 47003?

47003 is a semiprime: 11 × 4273, the product of two primes.

Find the next one

Nearby numbers

    47003: is it prime? Factors, square root, binary, Roman numeral | WordGPT