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The number 69716

69716 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 29 × 601. Divisors (12): 1, 2, 4, 29, 58, 116, 601, 1202, 2404, 17429, 34858, 69716.

Number

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How to work it out

  1. 1

    What is special about 69716: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.

  2. 2

    69716 is composite. Its prime factorisation is

    69716=22×29×60169716 = 2^{2} \times 29 \times 601
  3. 3

    The divisors add up to 126420; without 69716 itself that is 56704, so 69716 is deficient (56704 is less than 69716). Euler's totient φ(69716) = 33600 numbers up to 69716 share no factor with it.

  4. 4

    The digits of 69716 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69716 = 2^{2} \times 29 \times 601 \]

69716 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors126420
Euler totient φ(n)33600
Square4860320656
Cube338842114853696
Square root264.037876 (= 2√17429)
Digit sum / digital root29 / 2
Collatz steps to 150
Scientific notation6.9716 × 10410^{4}

69716 in other forms

FormValue
In wordssixty-nine thousand seven hundred and sixteen
Binary (base 2)10001000001010100
Octal (base 8)210124
Hexadecimal (base 16)11054
Base 310112122002
As time69716 seconds = 19 h 21 min 56 s

Is 69716 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69716 ÷ 2 = 34858)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (69716 ÷ 4 = 17429)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69716 a prime number?

No. 69716 = 222^{2} × 29 × 601, so it is divisible by 2.

What are the factors of 69716?

1, 2, 4, 29, 58, 116, 601, 1202, 2404, 17429, 34858, 69716.

What is 69716 in binary?

10001000001010100 (hexadecimal 11054, octal 210124).

What is the square root of 69716?

About 264.0379, exactly 2√17429.

Is 69716 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 69716?

69716 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 29.

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