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The number 31925

31925 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1277. Divisors (6): 1, 5, 25, 1277, 6385, 31925.

Number

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How to work it out

  1. 1

    31925 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

    31925 is composite. Its prime factorisation is

    31925=52Ɨ127731925 = 5^{2} \times 1277
  3. 3

    The divisors add up to 39618; without 31925 itself that is 7693, so 31925 is deficient (7693 is less than 31925). Euler's totient φ(31925) = 25520 numbers up to 31925 share no factor with it.

  4. 4

    The digits of 31925 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31925 = 5^{2} \times 1277 \]

31925 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors39618
Euler totient φ(n)25520
Square1019205625
Cube32538139578125
Square root178.675684 (= 5√1277)
Digit sum / digital root20 / 2
Collatz steps to 154
Scientific notation3.1925 Ɨ 10410^{4}

31925 in other forms

FormValue
In wordsthirty-one thousand nine hundred and twenty-five
Binary (base 2)111110010110101
Octal (base 8)76265
Hexadecimal (base 16)7CB5
Base 31121210102
As time31925 seconds = 8 h 52 min 5 s

Is 31925 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 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (31925 Ć· 5 = 6385)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 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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31925 a prime number?

No. 31925 = 525^{2} Ɨ 1277, so it is divisible by 5.

What are the factors of 31925?

1, 5, 25, 1277, 6385, 31925.

What is 31925 in binary?

111110010110101 (hexadecimal 7CB5, octal 76265).

What is the square root of 31925?

About 178.6757, exactly 5√1277.

Is 31925 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 31925?

It is a composite number with 6 divisors.

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    31925: is it prime? Factors, square root, binary, Roman numeral | WordGPT