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The number 80114

80114 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 977. Divisors (8): 1, 2, 41, 82, 977, 1954, 40057, 80114.

Number

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How to work it out

  1. 1

    What is special about 80114: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    80114 is composite. Its prime factorisation is

    80114=2×41×97780114 = 2 \times 41 \times 977
  3. 3

    The divisors add up to 123228; without 80114 itself that is 43114, so 80114 is deficient (43114 is less than 80114). Euler's totient φ(80114) = 39040 numbers up to 80114 share no factor with it.

  4. 4

    The digits of 80114 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80114 = 2 \times 41 \times 977 \]

80114 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors123228
Euler totient φ(n)39040
Square6418252996
Cube514191920521544
Square root283.044166
Digit sum / digital root14 / 5
Collatz steps to 1138
Scientific notation8.0114 × 10410^{4}

80114 in other forms

FormValue
In wordseighty thousand one hundred and fourteen
Binary (base 2)10011100011110010
Octal (base 8)234362
Hexadecimal (base 16)138F2
Base 311001220012
As time80114 seconds = 22 h 15 min 14 s

Is 80114 divisible by 2 to 12?

DivisorAnswerRule
2Yes (80114 ÷ 2 = 40057)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 2)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80114 a prime number?

No. 80114 = 2 × 41 × 977, so it is divisible by 2.

What are the factors of 80114?

1, 2, 41, 82, 977, 1954, 40057, 80114.

What is 80114 in binary?

10011100011110010 (hexadecimal 138F2, octal 234362).

What is the square root of 80114?

About 283.0442.

Is 80114 divisible by 3?

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

What is special about the number 80114?

80114 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    80114: is it prime? Factors, square root, binary, Roman numeral | WordGPT