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The number 62289

62289 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 769. Divisors (10): 1, 3, 9, 27, 81, 769, 2307, 6921, 20763, 62289.

Number

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How to work it out

  1. 1

    What is special about 62289: a Harshad number: divisible by its digit sum 27.

  2. 2

    62289 is composite. Its prime factorisation is

    62289=34×76962289 = 3^{4} \times 769
  3. 3

    The divisors add up to 93170; without 62289 itself that is 30881, so 62289 is deficient (30881 is less than 62289). Euler's totient φ(62289) = 41472 numbers up to 62289 share no factor with it.

  4. 4

    The digits of 62289 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62289 = 3^{4} \times 769 \]

62289 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors93170
Euler totient φ(n)41472
Square3879919521
Cube241676307043569
Square root249.577643 (= 9√769)
Digit sum / digital root27 / 9
Collatz steps to 186
Scientific notation6.2289 × 10410^{4}

62289 in other forms

FormValue
In wordssixty-two thousand two hundred and eighty-nine
Binary (base 2)1111001101010001
Octal (base 8)171521
Hexadecimal (base 16)F351
Base 310011110000
As time62289 seconds = 17 h 18 min 9 s

Is 62289 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).
3Yes (62289 ÷ 3 = 20763)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 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (62289 ÷ 9 = 6921)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62289 a prime number?

No. 62289 = 343^{4} × 769, so it is divisible by 3.

What are the factors of 62289?

1, 3, 9, 27, 81, 769, 2307, 6921, 20763, 62289.

What is 62289 in binary?

1111001101010001 (hexadecimal F351, octal 171521).

What is the square root of 62289?

About 249.5776, exactly 9√769.

Is 62289 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 62289?

62289 is a Harshad number: divisible by its digit sum 27.

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