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The number 87349

87349 is a composite number with 4 divisors. Its prime factorisation is 113 × 773. Divisors (4): 1, 113, 773, 87349.

Number

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How to work it out

  1. 1

    What is special about 87349: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 773, the product of two primes.

  2. 2

    87349 is composite. Its prime factorisation is

    87349=113×77387349 = 113 \times 773
  3. 3

    The divisors add up to 88236; without 87349 itself that is 887, so 87349 is deficient (887 is less than 87349). Euler's totient φ(87349) = 86464 numbers up to 87349 share no factor with it.

  4. 4

    The digits of 87349 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.

LaTeX source of the formulas on this page
\[ 87349 = 113 \times 773 \]

87349 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors88236
Euler totient φ(n)86464
Square7629847801
Cube666459575569549
Square root295.548642
Digit sum / digital root31 / 4
Collatz steps to 1164
Scientific notation8.7349 × 10410^{4}

87349 in other forms

FormValue
In wordseighty-seven thousand three hundred and forty-nine
Binary (base 2)10101010100110101
Octal (base 8)252465
Hexadecimal (base 16)15535
Base 311102211011
As time87349 seconds = 24 h 15 min 49 s

Is 87349 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 1)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 4)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 87349 a prime number?

No. 87349 = 113 × 773, so it is divisible by 113.

What are the factors of 87349?

1, 113, 773, 87349.

What is 87349 in binary?

10101010100110101 (hexadecimal 15535, octal 252465).

What is the square root of 87349?

About 295.5486.

Is 87349 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 87349?

87349 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 113 × 773, the product of two primes.

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    87349: is it prime? Factors, square root, binary, Roman numeral | WordGPT