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The number 80211

80211 is a composite number with 4 divisors. Its prime factorisation is 3 × 26737. Divisors (4): 1, 3, 26737, 80211.

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How to work it out

  1. 1

    What is special about 80211: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 26737, the product of two primes.

  2. 2

    80211 is composite. Its prime factorisation is

    80211=3×2673780211 = 3 \times 26737
  3. 3

    The divisors add up to 106952; without 80211 itself that is 26741, so 80211 is deficient (26741 is less than 80211). Euler's totient φ(80211) = 53472 numbers up to 80211 share no factor with it.

  4. 4

    The digits of 80211 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 275 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80211 = 3 \times 26737 \]

80211 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors106952
Euler totient φ(n)53472
Square6433804521
Cube516061894433931
Square root283.215466
Digit sum / digital root12 / 3
Collatz steps to 1275
Scientific notation8.0211 × 10410^{4}

80211 in other forms

FormValue
In wordseighty thousand two hundred and eleven
Binary (base 2)10011100101010011
Octal (base 8)234523
Hexadecimal (base 16)13953
Base 311002000210
As time80211 seconds = 22 h 16 min 51 s

Is 80211 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).
3Yes (80211 ÷ 3 = 26737)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80211 a prime number?

No. 80211 = 3 × 26737, so it is divisible by 3.

What are the factors of 80211?

1, 3, 26737, 80211.

What is 80211 in binary?

10011100101010011 (hexadecimal 13953, octal 234523).

What is the square root of 80211?

About 283.2155.

Is 80211 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 80211?

80211 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 26737, the product of two primes.

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