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The number 61011

61011 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 6779. Divisors (6): 1, 3, 9, 6779, 20337, 61011.

Number

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How to work it out

  1. 1

    What is special about 61011: a Harshad number: divisible by its digit sum 9.

  2. 2

    61011 is composite. Its prime factorisation is

    61011=32×677961011 = 3^{2} \times 6779
  3. 3

    The divisors add up to 88140; without 61011 itself that is 27129, so 61011 is deficient (27129 is less than 61011). Euler's totient φ(61011) = 40668 numbers up to 61011 share no factor with it.

  4. 4

    The digits of 61011 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61011 = 3^{2} \times 6779 \]

61011 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors88140
Euler totient φ(n)40668
Square3722342121
Cube227103815144331
Square root247.004049 (= 3√6779)
Digit sum / digital root9 / 9
Collatz steps to 160
Scientific notation6.1011 × 10410^{4}

61011 in other forms

FormValue
In wordssixty-one thousand and eleven
Binary (base 2)1110111001010011
Octal (base 8)167123
Hexadecimal (base 16)EE53
Base 310002200200
As time61011 seconds = 16 h 56 min 51 s

Is 61011 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 (61011 ÷ 3 = 20337)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (61011 ÷ 9 = 6779)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 5)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 61011 a prime number?

No. 61011 = 323^{2} × 6779, so it is divisible by 3.

What are the factors of 61011?

1, 3, 9, 6779, 20337, 61011.

What is 61011 in binary?

1110111001010011 (hexadecimal EE53, octal 167123).

What is the square root of 61011?

About 247.0040, exactly 3√6779.

Is 61011 divisible by 3?

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

What is special about the number 61011?

61011 is a Harshad number: divisible by its digit sum 9.

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