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The number 80053

80053 is a composite number with 6 divisors. Its prime factorisation is 17217^{2} Ɨ 277. Divisors (6): 1, 17, 277, 289, 4709, 80053.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    80053 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

    80053 is composite. Its prime factorisation is

    80053=172Ɨ27780053 = 17^{2} \times 277
  3. 3

    The divisors add up to 85346; without 80053 itself that is 5293, so 80053 is deficient (5293 is less than 80053). Euler's totient φ(80053) = 75072 numbers up to 80053 share no factor with it.

  4. 4

    The digits of 80053 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80053 = 17^{2} \times 277 \]

80053 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors85346
Euler totient φ(n)75072
Square6408482809
Cube513018274308877
Square root282.936389 (= 17√277)
Digit sum / digital root16 / 7
Collatz steps to 1182
Scientific notation8.0053 Ɨ 10410^{4}

80053 in other forms

FormValue
In wordseighty thousand and fifty-three
Binary (base 2)10011100010110101
Octal (base 8)234265
Hexadecimal (base 16)138B5
Base 311001210221
As time80053 seconds = 22 h 14 min 13 s

Is 80053 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 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 5)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 6)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 80053 a prime number?

No. 80053 = 17217^{2} Ɨ 277, so it is divisible by 17.

What are the factors of 80053?

1, 17, 277, 289, 4709, 80053.

What is 80053 in binary?

10011100010110101 (hexadecimal 138B5, octal 234265).

What is the square root of 80053?

About 282.9364, exactly 17√277.

Is 80053 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 80053?

It is a composite number with 6 divisors.

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    80053: is it prime? Factors, square root, binary, Roman numeral | WordGPT