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The number 31475

31475 is a composite number with 6 divisors. Its prime factorisation is 525^{2} Ɨ 1259. Divisors (6): 1, 5, 25, 1259, 6295, 31475.

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How to work it out

  1. 1

    What is special about 31475: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    31475 is composite. Its prime factorisation is

    31475=52Ɨ125931475 = 5^{2} \times 1259
  3. 3

    The divisors add up to 39060; without 31475 itself that is 7585, so 31475 is deficient (7585 is less than 31475). Euler's totient φ(31475) = 25160 numbers up to 31475 share no factor with it.

  4. 4

    The digits of 31475 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 85 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31475 = 5^{2} \times 1259 \]

31475 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors39060
Euler totient φ(n)25160
Square990675625
Cube31181515296875
Square root177.411950 (= 5√1259)
Digit sum / digital root20 / 2
Collatz steps to 185
Scientific notation3.1475 Ɨ 10410^{4}

31475 in other forms

FormValue
In wordsthirty-one thousand four hundred and seventy-five
Binary (base 2)111101011110011
Octal (base 8)75363
Hexadecimal (base 16)7AF3
Base 31121011202
As time31475 seconds = 8 h 44 min 35 s

Is 31475 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 (31475 Ć· 5 = 6295)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 3)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 3)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 4)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 31475 a prime number?

No. 31475 = 525^{2} Ɨ 1259, so it is divisible by 5.

What are the factors of 31475?

1, 5, 25, 1259, 6295, 31475.

What is 31475 in binary?

111101011110011 (hexadecimal 7AF3, octal 75363).

What is the square root of 31475?

About 177.4119, exactly 5√1259.

Is 31475 divisible by 3?

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

What is special about the number 31475?

31475 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    31475: is it prime? Factors, square root, binary, Roman numeral | WordGPT