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The number 69616

69616 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 19 × 229. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 152, 229, 304, 458, 916, 1832, 3664, 4351 … 69616.

Number

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How to work it out

  1. 1

    What is special about 69616: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    69616 is composite. Its prime factorisation is

    69616=24×19×22969616 = 2^{4} \times 19 \times 229
  3. 3

    The divisors add up to 142600; without 69616 itself that is 72984, so 69616 is abundant (72984 is more than 69616). Euler's totient φ(69616) = 32832 numbers up to 69616 share no factor with it.

  4. 4

    The digits of 69616 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69616 = 2^{4} \times 19 \times 229 \]

69616 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors142600
Euler totient φ(n)32832
Square4846387456
Cube337386109136896
Square root263.848441 (= 4√4351)
Digit sum / digital root28 / 1
Collatz steps to 181
Scientific notation6.9616 × 10410^{4}

69616 in other forms

FormValue
In wordssixty-nine thousand six hundred and sixteen
Binary (base 2)10000111111110000
Octal (base 8)207760
Hexadecimal (base 16)10FF0
Base 310112111101
As time69616 seconds = 19 h 20 min 16 s

Is 69616 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69616 ÷ 2 = 34808)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.
4Yes (69616 ÷ 4 = 17404)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (69616 ÷ 8 = 8702)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 69616 a prime number?

No. 69616 = 242^{4} × 19 × 229, so it is divisible by 2.

What are the factors of 69616?

1, 2, 4, 8, 16, 19, 38, 76, 152, 229, 304, 458, 916, 1832, 3664, 4351, 8702, 17404, 34808, 69616.

What is 69616 in binary?

10000111111110000 (hexadecimal 10FF0, octal 207760).

What is the square root of 69616?

About 263.8484, exactly 4√4351.

Is 69616 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 69616?

69616 is a happy number: repeatedly adding the squares of its digits reaches 1.

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