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The number 38375

38375 is a composite number with 8 divisors. Its prime factorisation is 535^{3} Ɨ 307. Divisors (8): 1, 5, 25, 125, 307, 1535, 7675, 38375.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    38375 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

    38375 is composite. Its prime factorisation is

    38375=53Ɨ30738375 = 5^{3} \times 307
  3. 3

    The divisors add up to 48048; without 38375 itself that is 9673, so 38375 is deficient (9673 is less than 38375). Euler's totient φ(38375) = 30600 numbers up to 38375 share no factor with it.

  4. 4

    The digits of 38375 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38375 = 5^{3} \times 307 \]

38375 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors48048
Euler totient φ(n)30600
Square1472640625
Cube56512583984375
Square root195.895380 (= 5√1535)
Digit sum / digital root26 / 8
Collatz steps to 1168
Scientific notation3.8375 Ɨ 10410^{4}

38375 in other forms

FormValue
In wordsthirty-eight thousand three hundred and seventy-five
Binary (base 2)1001010111100111
Octal (base 8)112747
Hexadecimal (base 16)95E7
Base 31221122022
As time38375 seconds = 10 h 39 min 35 s

Is 38375 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 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (38375 Ć· 5 = 7675)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.
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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 38375 a prime number?

No. 38375 = 535^{3} Ɨ 307, so it is divisible by 5.

What are the factors of 38375?

1, 5, 25, 125, 307, 1535, 7675, 38375.

What is 38375 in binary?

1001010111100111 (hexadecimal 95E7, octal 112747).

What is the square root of 38375?

About 195.8954, exactly 5√1535.

Is 38375 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 38375?

It is a composite number with 8 divisors.

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    38375: is it prime? Factors, square root, binary, Roman numeral | WordGPT