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The number 61317

61317 is a composite number with 10 divisors. Its prime factorisation is 343^{4} × 757. Divisors (10): 1, 3, 9, 27, 81, 757, 2271, 6813, 20439, 61317.

Number

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How to work it out

  1. 1

    61317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61317 is composite. Its prime factorisation is

    61317=34×75761317 = 3^{4} \times 757
  3. 3

    The divisors add up to 91718; without 61317 itself that is 30401, so 61317 is deficient (30401 is less than 61317). Euler's totient φ(61317) = 40824 numbers up to 61317 share no factor with it.

  4. 4

    The digits of 61317 add up to 18, 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
\[ 61317 = 3^{4} \times 757 \]

61317 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors91718
Euler totient φ(n)40824
Square3759774489
Cube230538092342013
Square root247.622697 (= 9√757)
Digit sum / digital root18 / 9
Collatz steps to 186
Scientific notation6.1317 × 10410^{4}

61317 in other forms

FormValue
In wordssixty-one thousand three hundred and seventeen
Binary (base 2)1110111110000101
Octal (base 8)167605
Hexadecimal (base 16)EF85
Base 310010010000
As time61317 seconds = 17 h 1 min 57 s

Is 61317 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 (61317 ÷ 3 = 20439)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 2)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 4)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 (61317 ÷ 9 = 6813)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)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 61317 a prime number?

No. 61317 = 343^{4} × 757, so it is divisible by 3.

What are the factors of 61317?

1, 3, 9, 27, 81, 757, 2271, 6813, 20439, 61317.

What is 61317 in binary?

1110111110000101 (hexadecimal EF85, octal 167605).

What is the square root of 61317?

About 247.6227, exactly 9√757.

Is 61317 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 61317?

It is a composite number with 10 divisors.

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    61317: is it prime? Factors, square root, binary, Roman numeral | WordGPT