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The number 87341

87341 is a composite number with 4 divisors. Its prime factorisation is 167 × 523. Divisors (4): 1, 167, 523, 87341.

Number

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How to work it out

  1. 1

    What is special about 87341: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 523, the product of two primes.

  2. 2

    87341 is composite. Its prime factorisation is

    87341=167×52387341 = 167 \times 523
  3. 3

    The divisors add up to 88032; without 87341 itself that is 691, so 87341 is deficient (691 is less than 87341). Euler's totient φ(87341) = 86652 numbers up to 87341 share no factor with it.

  4. 4

    The digits of 87341 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 71 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87341 = 167 \times 523 \]

87341 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors88032
Euler totient φ(n)86652
Square7628450281
Cube666276475992821
Square root295.535108
Digit sum / digital root23 / 5
Collatz steps to 171
Scientific notation8.7341 × 10410^{4}

87341 in other forms

FormValue
In wordseighty-seven thousand three hundred and forty-one
Binary (base 2)10101010100101101
Octal (base 8)252455
Hexadecimal (base 16)1552D
Base 311102210212
As time87341 seconds = 24 h 15 min 41 s

Is 87341 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 1)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 2)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 5)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 1)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87341 a prime number?

No. 87341 = 167 × 523, so it is divisible by 167.

What are the factors of 87341?

1, 167, 523, 87341.

What is 87341 in binary?

10101010100101101 (hexadecimal 1552D, octal 252455).

What is the square root of 87341?

About 295.5351.

Is 87341 divisible by 3?

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

What is special about the number 87341?

87341 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 523, the product of two primes.

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    87341: is it prime? Factors, square root, binary, Roman numeral | WordGPT