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The number 88348

88348 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 1699. Divisors (12): 1, 2, 4, 13, 26, 52, 1699, 3398, 6796, 22087, 44174, 88348.

Number

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How to work it out

  1. 1

    88348 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

    88348 is composite. Its prime factorisation is

    88348=22×13×169988348 = 2^{2} \times 13 \times 1699
  3. 3

    The divisors add up to 166600; without 88348 itself that is 78252, so 88348 is deficient (78252 is less than 88348). Euler's totient φ(88348) = 40752 numbers up to 88348 share no factor with it.

  4. 4

    The digits of 88348 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 102 steps to reach 1.

LaTeX source of the formulas on this page
\[ 88348 = 2^{2} \times 13 \times 1699 \]

88348 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors166600
Euler totient φ(n)40752
Square7805369104
Cube689588749600192
Square root297.233915 (= 2√22087)
Digit sum / digital root31 / 4
Collatz steps to 1102
Scientific notation8.8348 × 10410^{4}

88348 in other forms

FormValue
In wordseighty-eight thousand three hundred and forty-eight
Binary (base 2)10101100100011100
Octal (base 8)254434
Hexadecimal (base 16)1591C
Base 311111012011
As time88348 seconds = 24 h 32 min 28 s

Is 88348 divisible by 2 to 12?

DivisorAnswerRule
2Yes (88348 ÷ 2 = 44174)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.
4Yes (88348 ÷ 4 = 22087)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 88348 a prime number?

No. 88348 = 222^{2} × 13 × 1699, so it is divisible by 2.

What are the factors of 88348?

1, 2, 4, 13, 26, 52, 1699, 3398, 6796, 22087, 44174, 88348.

What is 88348 in binary?

10101100100011100 (hexadecimal 1591C, octal 254434).

What is the square root of 88348?

About 297.2339, exactly 2√22087.

Is 88348 divisible by 3?

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

What is special about the number 88348?

It is a composite number with 12 divisors.

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    88348: is it prime? Factors, square root, binary, Roman numeral | WordGPT