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The number 38620

38620 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 5 × 1931. Divisors (12): 1, 2, 4, 5, 10, 20, 1931, 3862, 7724, 9655, 19310, 38620.

Number

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How to work it out

  1. 1

    38620 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

    38620 is composite. Its prime factorisation is

    38620=22×5×193138620 = 2^{2} \times 5 \times 1931
  3. 3

    The divisors add up to 81144; without 38620 itself that is 42524, so 38620 is abundant (42524 is more than 38620). Euler's totient φ(38620) = 15440 numbers up to 38620 share no factor with it.

  4. 4

    The digits of 38620 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38620 = 2^{2} \times 5 \times 1931 \]

38620 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors81144
Euler totient φ(n)15440
Square1491504400
Cube57601899928000
Square root196.519719 (= 2√9655)
Digit sum / digital root19 / 1
Collatz steps to 1106
Scientific notation3.862 × 10410^{4}

38620 in other forms

FormValue
In wordsthirty-eight thousand six hundred and twenty
Binary (base 2)1001011011011100
Octal (base 8)113334
Hexadecimal (base 16)96DC
Base 31221222101
As time38620 seconds = 10 h 43 min 40 s

Is 38620 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38620 ÷ 2 = 19310)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 (38620 ÷ 4 = 9655)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (38620 ÷ 5 = 7724)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.
8No (remainder 4)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.
10Yes (38620 ÷ 10 = 3862)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 38620 a prime number?

No. 38620 = 222^{2} × 5 × 1931, so it is divisible by 2.

What are the factors of 38620?

1, 2, 4, 5, 10, 20, 1931, 3862, 7724, 9655, 19310, 38620.

What is 38620 in binary?

1001011011011100 (hexadecimal 96DC, octal 113334).

What is the square root of 38620?

About 196.5197, exactly 2√9655.

Is 38620 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 38620?

It is a composite number with 12 divisors.

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    38620: is it prime? Factors, square root, binary, Roman numeral | WordGPT