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The number 68990

68990 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 6899. Divisors (8): 1, 2, 5, 10, 6899, 13798, 34495, 68990.

Number

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How to work it out

  1. 1

    What is special about 68990: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    68990 is composite. Its prime factorisation is

    68990=2×5×689968990 = 2 \times 5 \times 6899
  3. 3

    The divisors add up to 124200; without 68990 itself that is 55210, so 68990 is deficient (55210 is less than 68990). Euler's totient φ(68990) = 27592 numbers up to 68990 share no factor with it.

  4. 4

    The digits of 68990 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 68990 = 2 \times 5 \times 6899 \]

68990 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors124200
Euler totient φ(n)27592
Square4759620100
Cube328366190699000
Square root262.659475
Digit sum / digital root32 / 5
Collatz steps to 1143
Scientific notation6.899 × 10410^{4}

68990 in other forms

FormValue
In wordssixty-eight thousand nine hundred and ninety
Binary (base 2)10000110101111110
Octal (base 8)206576
Hexadecimal (base 16)10D7E
Base 310111122012
As time68990 seconds = 19 h 9 min 50 s

Is 68990 divisible by 2 to 12?

DivisorAnswerRule
2Yes (68990 ÷ 2 = 34495)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (68990 ÷ 5 = 13798)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (68990 ÷ 10 = 6899)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 68990 a prime number?

No. 68990 = 2 × 5 × 6899, so it is divisible by 2.

What are the factors of 68990?

1, 2, 5, 10, 6899, 13798, 34495, 68990.

What is 68990 in binary?

10000110101111110 (hexadecimal 10D7E, octal 206576).

What is the square root of 68990?

About 262.6595.

Is 68990 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 68990?

68990 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    68990: is it prime? Factors, square root, binary, Roman numeral | WordGPT