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The number 53873

53873 is a composite number with 4 divisors. Its prime factorisation is 17 × 3169. Divisors (4): 1, 17, 3169, 53873.

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How to work it out

  1. 1

    What is special about 53873: a semiprime: 17 × 3169, the product of two primes.

  2. 2

    53873 is composite. Its prime factorisation is

    53873=17×316953873 = 17 \times 3169
  3. 3

    The divisors add up to 57060; without 53873 itself that is 3187, so 53873 is deficient (3187 is less than 53873). Euler's totient φ(53873) = 50688 numbers up to 53873 share no factor with it.

  4. 4

    The digits of 53873 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.

LaTeX source of the formulas on this page
\[ 53873 = 17 \times 3169 \]

53873 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors57060
Euler totient φ(n)50688
Square2902300129
Cube156355614849617
Square root232.105579
Digit sum / digital root26 / 8
Collatz steps to 147
Scientific notation5.3873 × 10410^{4}

53873 in other forms

FormValue
In wordsfifty-three thousand eight hundred and seventy-three
Binary (base 2)1101001001110001
Octal (base 8)151161
Hexadecimal (base 16)D271
Base 32201220022
As time53873 seconds = 14 h 57 min 53 s

Is 53873 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.
7No (remainder 1)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 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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53873 a prime number?

No. 53873 = 17 × 3169, so it is divisible by 17.

What are the factors of 53873?

1, 17, 3169, 53873.

What is 53873 in binary?

1101001001110001 (hexadecimal D271, octal 151161).

What is the square root of 53873?

About 232.1056.

Is 53873 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 53873?

53873 is a semiprime: 17 × 3169, the product of two primes.

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