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The number 84071

84071 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 223. Divisors (8): 1, 13, 29, 223, 377, 2899, 6467, 84071.

Number

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How to work it out

  1. 1

    What is special about 84071: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    84071 is composite. Its prime factorisation is

    84071=13×29×22384071 = 13 \times 29 \times 223
  3. 3

    The divisors add up to 94080; without 84071 itself that is 10009, so 84071 is deficient (10009 is less than 84071). Euler's totient φ(84071) = 74592 numbers up to 84071 share no factor with it.

  4. 4

    The digits of 84071 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.

LaTeX source of the formulas on this page
\[ 84071 = 13 \times 29 \times 223 \]

84071 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors94080
Euler totient φ(n)74592
Square7067933041
Cube594208198689911
Square root289.949996
Digit sum / digital root20 / 2
Collatz steps to 189
Scientific notation8.4071 × 10410^{4}

84071 in other forms

FormValue
In wordseighty-four thousand and seventy-one
Binary (base 2)10100100001100111
Octal (base 8)244147
Hexadecimal (base 16)14867
Base 311021022202
As time84071 seconds = 23 h 21 min 11 s

Is 84071 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 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 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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 84071 a prime number?

No. 84071 = 13 × 29 × 223, so it is divisible by 13.

What are the factors of 84071?

1, 13, 29, 223, 377, 2899, 6467, 84071.

What is 84071 in binary?

10100100001100111 (hexadecimal 14867, octal 244147).

What is the square root of 84071?

About 289.9500.

Is 84071 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 84071?

84071 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    84071: is it prime? Factors, square root, binary, Roman numeral | WordGPT