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The number 80033

80033 is a composite number with 4 divisors. Its prime factorisation is 163 × 491. Divisors (4): 1, 163, 491, 80033.

Number

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How to work it out

  1. 1

    What is special about 80033: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 163 × 491, the product of two primes.

  2. 2

    80033 is composite. Its prime factorisation is

    80033=163×49180033 = 163 \times 491
  3. 3

    The divisors add up to 80688; without 80033 itself that is 655, so 80033 is deficient (655 is less than 80033). Euler's totient φ(80033) = 79380 numbers up to 80033 share no factor with it.

  4. 4

    The digits of 80033 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 120 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80033 = 163 \times 491 \]

80033 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors80688
Euler totient φ(n)79380
Square6405281089
Cube512633861395937
Square root282.901043
Digit sum / digital root14 / 5
Collatz steps to 1120
Scientific notation8.0033 × 10410^{4}

80033 in other forms

FormValue
In wordseighty thousand and thirty-three
Binary (base 2)10011100010100001
Octal (base 8)234241
Hexadecimal (base 16)138A1
Base 311001210012
As time80033 seconds = 22 h 13 min 53 s

Is 80033 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 2)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 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.
11No (remainder 8)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 80033 a prime number?

No. 80033 = 163 × 491, so it is divisible by 163.

What are the factors of 80033?

1, 163, 491, 80033.

What is 80033 in binary?

10011100010100001 (hexadecimal 138A1, octal 234241).

What is the square root of 80033?

About 282.9010.

Is 80033 divisible by 3?

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

What is special about the number 80033?

80033 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 163 × 491, the product of two primes.

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    80033: is it prime? Factors, square root, binary, Roman numeral | WordGPT