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The number 69320

69320 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 5 × 1733. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1733, 3466, 6932, 8665, 13864, 17330, 34660, 69320.

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How to work it out

  1. 1

    What is special about 69320: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.

  2. 2

    69320 is composite. Its prime factorisation is

    69320=23×5×173369320 = 2^{3} \times 5 \times 1733
  3. 3

    The divisors add up to 156060; without 69320 itself that is 86740, so 69320 is abundant (86740 is more than 69320). Euler's totient φ(69320) = 27712 numbers up to 69320 share no factor with it.

  4. 4

    The digits of 69320 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69320 = 2^{3} \times 5 \times 1733 \]

69320 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors156060
Euler totient φ(n)27712
Square4805262400
Cube333100789568000
Square root263.286916 (= 2√17330)
Digit sum / digital root20 / 2
Collatz steps to 1143
Scientific notation6.932 × 10410^{4}

69320 in other forms

FormValue
In wordssixty-nine thousand three hundred and twenty
Binary (base 2)10000111011001000
Octal (base 8)207310
Hexadecimal (base 16)10EC8
Base 310112002102
As time69320 seconds = 19 h 15 min 20 s

Is 69320 divisible by 2 to 12?

DivisorAnswerRule
2Yes (69320 ÷ 2 = 34660)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 (69320 ÷ 4 = 17330)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (69320 ÷ 5 = 13864)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 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.
8Yes (69320 ÷ 8 = 8665)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.
10Yes (69320 ÷ 10 = 6932)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 69320 a prime number?

No. 69320 = 232^{3} × 5 × 1733, so it is divisible by 2.

What are the factors of 69320?

1, 2, 4, 5, 8, 10, 20, 40, 1733, 3466, 6932, 8665, 13864, 17330, 34660, 69320.

What is 69320 in binary?

10000111011001000 (hexadecimal 10EC8, octal 207310).

What is the square root of 69320?

About 263.2869, exactly 2√17330.

Is 69320 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 69320?

69320 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.

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