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The number 39625

39625 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 317. Divisors (8): 1, 5, 25, 125, 317, 1585, 7925, 39625.

Number

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How to work it out

  1. 1

    What is special about 39625: a Harshad number: divisible by its digit sum 25.

  2. 2

    39625 is composite. Its prime factorisation is

    39625=53Ɨ31739625 = 5^{3} \times 317
  3. 3

    The divisors add up to 49608; without 39625 itself that is 9983, so 39625 is deficient (9983 is less than 39625). Euler's totient φ(39625) = 31600 numbers up to 39625 share no factor with it.

  4. 4

    The digits of 39625 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 39625 = 5^{3} \times 317 \]

39625 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors49608
Euler totient φ(n)31600
Square1570140625
Cube62216822265625
Square root199.060292 (= 5√1585)
Digit sum / digital root25 / 7
Collatz steps to 175
Scientific notation3.9625 Ɨ 10410^{4}

39625 in other forms

FormValue
In wordsthirty-nine thousand six hundred and twenty-five
Binary (base 2)1001101011001001
Octal (base 8)115311
Hexadecimal (base 16)9AC9
Base 32000100121
As time39625 seconds = 11 h 0 min 25 s

Is 39625 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 1)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 (39625 Ć· 5 = 7925)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 39625 a prime number?

No. 39625 = 535^{3} Ɨ 317, so it is divisible by 5.

What are the factors of 39625?

1, 5, 25, 125, 317, 1585, 7925, 39625.

What is 39625 in binary?

1001101011001001 (hexadecimal 9AC9, octal 115311).

What is the square root of 39625?

About 199.0603, exactly 5√1585.

Is 39625 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 39625?

39625 is a Harshad number: divisible by its digit sum 25.

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    39625: is it prime? Factors, square root, binary, Roman numeral | WordGPT