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The number 38725

38725 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1549. Divisors (6): 1, 5, 25, 1549, 7745, 38725.

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How to work it out

  1. 1

    What is special about 38725: a Harshad number: divisible by its digit sum 25.

  2. 2

    38725 is composite. Its prime factorisation is

    38725=52Ɨ154938725 = 5^{2} \times 1549
  3. 3

    The divisors add up to 48050; without 38725 itself that is 9325, so 38725 is deficient (9325 is less than 38725). Euler's totient φ(38725) = 30960 numbers up to 38725 share no factor with it.

  4. 4

    The digits of 38725 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 62 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38725 = 5^{2} \times 1549 \]

38725 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors48050
Euler totient φ(n)30960
Square1499625625
Cube58073002328125
Square root196.786687 (= 5√1549)
Digit sum / digital root25 / 7
Collatz steps to 162
Scientific notation3.8725 Ɨ 10410^{4}

38725 in other forms

FormValue
In wordsthirty-eight thousand seven hundred and twenty-five
Binary (base 2)1001011101000101
Octal (base 8)113505
Hexadecimal (base 16)9745
Base 31222010021
As time38725 seconds = 10 h 45 min 25 s

Is 38725 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 (38725 Ć· 5 = 7745)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 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 5)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 5)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 38725 a prime number?

No. 38725 = 525^{2} Ɨ 1549, so it is divisible by 5.

What are the factors of 38725?

1, 5, 25, 1549, 7745, 38725.

What is 38725 in binary?

1001011101000101 (hexadecimal 9745, octal 113505).

What is the square root of 38725?

About 196.7867, exactly 5√1549.

Is 38725 divisible by 3?

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

What is special about the number 38725?

38725 is a Harshad number: divisible by its digit sum 25.

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    38725: is it prime? Factors, square root, binary, Roman numeral | WordGPT