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The number 87342

87342 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 14557. Divisors (8): 1, 2, 3, 6, 14557, 29114, 43671, 87342.

Number

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How to work it out

  1. 1

    87342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    87342 is composite. Its prime factorisation is

    87342=2×3×1455787342 = 2 \times 3 \times 14557
  3. 3

    The divisors add up to 174696; without 87342 itself that is 87354, so 87342 is abundant (87354 is more than 87342). Euler's totient φ(87342) = 29112 numbers up to 87342 share no factor with it.

  4. 4

    The digits of 87342 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87342 = 2 \times 3 \times 14557 \]

87342 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors174696
Euler totient φ(n)29112
Square7628624964
Cube666299361605688
Square root295.536800
Digit sum / digital root24 / 6
Collatz steps to 171
Scientific notation8.7342 × 10410^{4}

87342 in other forms

FormValue
In wordseighty-seven thousand three hundred and forty-two
Binary (base 2)10101010100101110
Octal (base 8)252456
Hexadecimal (base 16)1552E
Base 311102210220
As time87342 seconds = 24 h 15 min 42 s

Is 87342 divisible by 2 to 12?

DivisorAnswerRule
2Yes (87342 ÷ 2 = 43671)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (87342 ÷ 3 = 29114)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6Yes (87342 ÷ 6 = 14557)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87342 a prime number?

No. 87342 = 2 × 3 × 14557, so it is divisible by 2.

What are the factors of 87342?

1, 2, 3, 6, 14557, 29114, 43671, 87342.

What is 87342 in binary?

10101010100101110 (hexadecimal 1552E, octal 252456).

What is the square root of 87342?

About 295.5368.

Is 87342 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 87342?

It is a composite number with 8 divisors.

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    87342: is it prime? Factors, square root, binary, Roman numeral | WordGPT