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The number 87134

87134 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 2293. Divisors (8): 1, 2, 19, 38, 2293, 4586, 43567, 87134.

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How to work it out

  1. 1

    What is special about 87134: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    87134 is composite. Its prime factorisation is

    87134=2×19×229387134 = 2 \times 19 \times 2293
  3. 3

    The divisors add up to 137640; without 87134 itself that is 50506, so 87134 is deficient (50506 is less than 87134). Euler's totient φ(87134) = 41256 numbers up to 87134 share no factor with it.

  4. 4

    The digits of 87134 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87134 = 2 \times 19 \times 2293 \]

87134 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors137640
Euler totient φ(n)41256
Square7592333956
Cube661550426922104
Square root295.184688
Digit sum / digital root23 / 5
Collatz steps to 1195
Scientific notation8.7134 × 10410^{4}

87134 in other forms

FormValue
In wordseighty-seven thousand one hundred and thirty-four
Binary (base 2)10101010001011110
Octal (base 8)252136
Hexadecimal (base 16)1545E
Base 311102112012
As time87134 seconds = 24 h 12 min 14 s

Is 87134 divisible by 2 to 12?

DivisorAnswerRule
2Yes (87134 ÷ 2 = 43567)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 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 6)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 3)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 87134 a prime number?

No. 87134 = 2 × 19 × 2293, so it is divisible by 2.

What are the factors of 87134?

1, 2, 19, 38, 2293, 4586, 43567, 87134.

What is 87134 in binary?

10101010001011110 (hexadecimal 1545E, octal 252136).

What is the square root of 87134?

About 295.1847.

Is 87134 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 87134?

87134 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    87134: is it prime? Factors, square root, binary, Roman numeral | WordGPT