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The number 31703

31703 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 647. Divisors (6): 1, 7, 49, 647, 4529, 31703.

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How to work it out

  1. 1

    What is special about 31703: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    31703 is composite. Its prime factorisation is

    31703=72Ɨ64731703 = 7^{2} \times 647
  3. 3

    The divisors add up to 36936; without 31703 itself that is 5233, so 31703 is deficient (5233 is less than 31703). Euler's totient φ(31703) = 27132 numbers up to 31703 share no factor with it.

  4. 4

    The digits of 31703 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31703 = 7^{2} \times 647 \]

31703 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors36936
Euler totient φ(n)27132
Square1005080209
Cube31864057865927
Square root178.053363 (= 7√647)
Digit sum / digital root14 / 5
Collatz steps to 159
Scientific notation3.1703 Ɨ 10410^{4}

31703 in other forms

FormValue
In wordsthirty-one thousand seven hundred and three
Binary (base 2)111101111010111
Octal (base 8)75727
Hexadecimal (base 16)7BD7
Base 31121111012
As time31703 seconds = 8 h 48 min 23 s

Is 31703 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.
5No (remainder 3)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.
7Yes (31703 Ć· 7 = 4529)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 31703 a prime number?

No. 31703 = 727^{2} Ɨ 647, so it is divisible by 7.

What are the factors of 31703?

1, 7, 49, 647, 4529, 31703.

What is 31703 in binary?

111101111010111 (hexadecimal 7BD7, octal 75727).

What is the square root of 31703?

About 178.0534, exactly 7√647.

Is 31703 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 31703?

31703 is a happy number: repeatedly adding the squares of its digits reaches 1.

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