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The number 60885

60885 is a composite number with 32 divisors. Its prime factorisation is 333^{3} × 5 × 11 × 41. Divisors (32): 1, 3, 5, 9, 11, 15, 27, 33, 41, 45, 55, 99, 123, 135, 165, 205 … 60885.

Number

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How to work it out

  1. 1

    What is special about 60885: a Harshad number: divisible by its digit sum 27.

  2. 2

    60885 is composite. Its prime factorisation is

    60885=33×5×11×4160885 = 3^{3} \times 5 \times 11 \times 41
  3. 3

    The divisors add up to 120960; without 60885 itself that is 60075, so 60885 is deficient (60075 is less than 60885). Euler's totient φ(60885) = 28800 numbers up to 60885 share no factor with it.

  4. 4

    The digits of 60885 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 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60885 = 3^{3} \times 5 \times 11 \times 41 \]

60885 at a glance

PropertyValue
Typecomposite
Number of divisors32
Sum of divisors120960
Euler totient φ(n)28800
Square3706983225
Cube225699673654125
Square root246.748860 (= 3√6765)
Digit sum / digital root27 / 9
Collatz steps to 134
Scientific notation6.0885 × 10410^{4}

60885 in other forms

FormValue
In wordssixty thousand eight hundred and eighty-five
Binary (base 2)1110110111010101
Octal (base 8)166725
Hexadecimal (base 16)EDD5
Base 310002112000
As time60885 seconds = 16 h 54 min 45 s

Is 60885 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 (60885 ÷ 3 = 20295)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.
5Yes (60885 ÷ 5 = 12177)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 6)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.
9Yes (60885 ÷ 9 = 6765)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11Yes (60885 ÷ 11 = 5535)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 60885 a prime number?

No. 60885 = 333^{3} × 5 × 11 × 41, so it is divisible by 3.

What are the factors of 60885?

1, 3, 5, 9, 11, 15, 27, 33, 41, 45, 55, 99, 123, 135, 165, 205, 297, 369, 451, 495, 615, 1107, 1353, 1485, 1845, 2255, 4059, 5535, 6765, 12177, 20295, 60885.

What is 60885 in binary?

1110110111010101 (hexadecimal EDD5, octal 166725).

What is the square root of 60885?

About 246.7489, exactly 3√6765.

Is 60885 divisible by 3?

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

What is special about the number 60885?

60885 is a Harshad number: divisible by its digit sum 27.

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