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The number 83473

83473 is a composite number with 4 divisors. Its prime factorisation is 13 × 6421. Divisors (4): 1, 13, 6421, 83473.

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How to work it out

  1. 1

    What is special about 83473: a semiprime: 13 × 6421, the product of two primes.

  2. 2

    83473 is composite. Its prime factorisation is

    83473=13×642183473 = 13 \times 6421
  3. 3

    The divisors add up to 89908; without 83473 itself that is 6435, so 83473 is deficient (6435 is less than 83473). Euler's totient φ(83473) = 77040 numbers up to 83473 share no factor with it.

  4. 4

    The digits of 83473 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.

LaTeX source of the formulas on this page
\[ 83473 = 13 \times 6421 \]

83473 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors89908
Euler totient φ(n)77040
Square6967741729
Cube581618305344817
Square root288.916943
Digit sum / digital root25 / 7
Collatz steps to 1151
Scientific notation8.3473 × 10410^{4}

83473 in other forms

FormValue
In wordseighty-three thousand four hundred and seventy-three
Binary (base 2)10100011000010001
Octal (base 8)243021
Hexadecimal (base 16)14611
Base 311020111121
As time83473 seconds = 23 h 11 min 13 s

Is 83473 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 3)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 5)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 83473 a prime number?

No. 83473 = 13 × 6421, so it is divisible by 13.

What are the factors of 83473?

1, 13, 6421, 83473.

What is 83473 in binary?

10100011000010001 (hexadecimal 14611, octal 243021).

What is the square root of 83473?

About 288.9169.

Is 83473 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 83473?

83473 is a semiprime: 13 × 6421, the product of two primes.

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    83473: is it prime? Factors, square root, binary, Roman numeral | WordGPT