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The number 39676

39676 is a composite number with 24 divisors. Its prime factorisation is 222^{2} × 7 × 13 × 109. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 109, 182, 218, 364, 436, 763 … 39676.

Number

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How to work it out

  1. 1

    39676 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

    39676 is composite. Its prime factorisation is

    39676=22×7×13×10939676 = 2^{2} \times 7 \times 13 \times 109
  3. 3

    The divisors add up to 86240; without 39676 itself that is 46564, so 39676 is abundant (46564 is more than 39676). Euler's totient φ(39676) = 15552 numbers up to 39676 share no factor with it.

  4. 4

    The digits of 39676 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 150 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39676 = 2^{2} \times 7 \times 13 \times 109 \]

39676 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors86240
Euler totient φ(n)15552
Square1574184976
Cube62457363107776
Square root199.188353 (= 2√9919)
Digit sum / digital root31 / 4
Collatz steps to 1150
Scientific notation3.9676 × 10410^{4}

39676 in other forms

FormValue
In wordsthirty-nine thousand six hundred and seventy-six
Binary (base 2)1001101011111100
Octal (base 8)115374
Hexadecimal (base 16)9AFC
Base 32000102111
As time39676 seconds = 11 h 1 min 16 s

Is 39676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (39676 ÷ 2 = 19838)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 (39676 ÷ 4 = 9919)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.
7Yes (39676 ÷ 7 = 5668)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 4)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 10)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 39676 a prime number?

No. 39676 = 222^{2} × 7 × 13 × 109, so it is divisible by 2.

What are the factors of 39676?

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 109, 182, 218, 364, 436, 763, 1417, 1526, 2834, 3052, 5668, 9919, 19838, 39676.

What is 39676 in binary?

1001101011111100 (hexadecimal 9AFC, octal 115374).

What is the square root of 39676?

About 199.1884, exactly 2√9919.

Is 39676 divisible by 3?

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

What is special about the number 39676?

It is a composite number with 24 divisors.

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    39676: is it prime? Factors, square root, binary, Roman numeral | WordGPT