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The number 60111

60111 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6679. Divisors (6): 1, 3, 9, 6679, 20037, 60111.

Number

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How to work it out

  1. 1

    What is special about 60111: a Harshad number: divisible by its digit sum 9.

  2. 2

    60111 is composite. Its prime factorisation is

    60111=32×667960111 = 3^{2} \times 6679
  3. 3

    The divisors add up to 86840; without 60111 itself that is 26729, so 60111 is deficient (26729 is less than 60111). Euler's totient φ(60111) = 40068 numbers up to 60111 share no factor with it.

  4. 4

    The digits of 60111 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60111 = 3^{2} \times 6679 \]

60111 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors86840
Euler totient φ(n)40068
Square3613332321
Cube217201019147631
Square root245.175447 (= 3√6679)
Digit sum / digital root9 / 9
Collatz steps to 1117
Scientific notation6.0111 × 10410^{4}

60111 in other forms

FormValue
In wordssixty thousand one hundred and eleven
Binary (base 2)1110101011001111
Octal (base 8)165317
Hexadecimal (base 16)EACF
Base 310001110100
As time60111 seconds = 16 h 41 min 51 s

Is 60111 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 (60111 ÷ 3 = 20037)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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 2)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (60111 ÷ 9 = 6679)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60111 a prime number?

No. 60111 = 323^{2} × 6679, so it is divisible by 3.

What are the factors of 60111?

1, 3, 9, 6679, 20037, 60111.

What is 60111 in binary?

1110101011001111 (hexadecimal EACF, octal 165317).

What is the square root of 60111?

About 245.1754, exactly 3√6679.

Is 60111 divisible by 3?

Yes. Its digits add up to 9, a multiple of 3.

What is special about the number 60111?

60111 is a Harshad number: divisible by its digit sum 9.

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