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The number 69727

69727 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1423. Divisors (6): 1, 7, 49, 1423, 9961, 69727.

Number

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How to work it out

  1. 1

    What is special about 69727: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    69727 is composite. Its prime factorisation is

    69727=72Ɨ142369727 = 7^{2} \times 1423
  3. 3

    The divisors add up to 81168; without 69727 itself that is 11441, so 69727 is deficient (11441 is less than 69727). Euler's totient φ(69727) = 59724 numbers up to 69727 share no factor with it.

  4. 4

    The digits of 69727 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69727 = 7^{2} \times 1423 \]

69727 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors81168
Euler totient φ(n)59724
Square4861854529
Cube339002530743583
Square root264.058706 (= 7√1423)
Digit sum / digital root31 / 4
Collatz steps to 1112
Scientific notation6.9727 Ɨ 10410^{4}

69727 in other forms

FormValue
In wordssixty-nine thousand seven hundred and twenty-seven
Binary (base 2)10001000001011111
Octal (base 8)210137
Hexadecimal (base 16)1105F
Base 310112122111
As time69727 seconds = 19 h 22 min 7 s

Is 69727 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).
3No (remainder 1)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (69727 Ć· 7 = 9961)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.
9No (remainder 4)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69727 a prime number?

No. 69727 = 727^{2} Ɨ 1423, so it is divisible by 7.

What are the factors of 69727?

1, 7, 49, 1423, 9961, 69727.

What is 69727 in binary?

10001000001011111 (hexadecimal 1105F, octal 210137).

What is the square root of 69727?

About 264.0587, exactly 7√1423.

Is 69727 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 69727?

69727 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    69727: is it prime? Factors, square root, binary, Roman numeral | WordGPT