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The number 76685

76685 is a composite number with 12 divisors. Its prime factorisation is 5 × 727^{2} × 313. Divisors (12): 1, 5, 7, 35, 49, 245, 313, 1565, 2191, 10955, 15337, 76685.

Number

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How to work it out

  1. 1

    76685 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

    76685 is composite. Its prime factorisation is

    76685=5×72×31376685 = 5 \times 7^{2} \times 313
  3. 3

    The divisors add up to 107388; without 76685 itself that is 30703, so 76685 is deficient (30703 is less than 76685). Euler's totient φ(76685) = 52416 numbers up to 76685 share no factor with it.

  4. 4

    The digits of 76685 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76685 = 5 \times 7^{2} \times 313 \]

76685 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors107388
Euler totient φ(n)52416
Square5880589225
Cube450952984719125
Square root276.920566 (= 7√1565)
Digit sum / digital root32 / 5
Collatz steps to 1125
Scientific notation7.6685 × 10410^{4}

76685 in other forms

FormValue
In wordsseventy-six thousand six hundred and eighty-five
Binary (base 2)10010101110001101
Octal (base 8)225615
Hexadecimal (base 16)12B8D
Base 310220012012
As time76685 seconds = 21 h 18 min 5 s

Is 76685 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 2)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.
5Yes (76685 ÷ 5 = 15337)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (76685 ÷ 7 = 10955)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.
9No (remainder 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76685 a prime number?

No. 76685 = 5 × 727^{2} × 313, so it is divisible by 5.

What are the factors of 76685?

1, 5, 7, 35, 49, 245, 313, 1565, 2191, 10955, 15337, 76685.

What is 76685 in binary?

10010101110001101 (hexadecimal 12B8D, octal 225615).

What is the square root of 76685?

About 276.9206, exactly 7√1565.

Is 76685 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 76685?

It is a composite number with 12 divisors.

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