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The number 68488

68488 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 7 × 1223. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 1223, 2446, 4892, 8561, 9784, 17122, 34244, 68488.

Number

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How to work it out

  1. 1

    68488 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

    68488 is composite. Its prime factorisation is

    68488=23×7×122368488 = 2^{3} \times 7 \times 1223
  3. 3

    The divisors add up to 146880; without 68488 itself that is 78392, so 68488 is abundant (78392 is more than 68488). Euler's totient φ(68488) = 29328 numbers up to 68488 share no factor with it.

  4. 4

    The digits of 68488 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68488 = 2^{3} \times 7 \times 1223 \]

68488 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors146880
Euler totient φ(n)29328
Square4690606144
Cube321250233590272
Square root261.702121 (= 2√17122)
Digit sum / digital root34 / 7
Collatz steps to 129
Scientific notation6.8488 × 10410^{4}

68488 in other forms

FormValue
In wordssixty-eight thousand four hundred and eighty-eight
Binary (base 2)10000101110001000
Octal (base 8)205610
Hexadecimal (base 16)10B88
Base 310110221121
As time68488 seconds = 19 h 1 min 28 s

Is 68488 divisible by 2 to 12?

DivisorAnswerRule
2Yes (68488 ÷ 2 = 34244)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 (68488 ÷ 4 = 17122)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.
7Yes (68488 ÷ 7 = 9784)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (68488 ÷ 8 = 8561)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 2)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 68488 a prime number?

No. 68488 = 232^{3} × 7 × 1223, so it is divisible by 2.

What are the factors of 68488?

1, 2, 4, 7, 8, 14, 28, 56, 1223, 2446, 4892, 8561, 9784, 17122, 34244, 68488.

What is 68488 in binary?

10000101110001000 (hexadecimal 10B88, octal 205610).

What is the square root of 68488?

About 261.7021, exactly 2√17122.

Is 68488 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 68488?

It is a composite number with 16 divisors.

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