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The number 31301

31301 is a composite number with 4 divisors. Its prime factorisation is 113 × 277. Divisors (4): 1, 113, 277, 31301.

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How to work it out

  1. 1

    What is special about 31301: a semiprime: 113 × 277, the product of two primes.

  2. 2

    31301 is composite. Its prime factorisation is

    31301=113×27731301 = 113 \times 277
  3. 3

    The divisors add up to 31692; without 31301 itself that is 391, so 31301 is deficient (391 is less than 31301). Euler's totient φ(31301) = 30912 numbers up to 31301 share no factor with it.

  4. 4

    The digits of 31301 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31301 = 113 \times 277 \]

31301 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors31692
Euler totient φ(n)30912
Square979752601
Cube30667236163901
Square root176.920886
Digit sum / digital root8 / 8
Collatz steps to 1147
Scientific notation3.1301 × 10410^{4}

31301 in other forms

FormValue
In wordsthirty-one thousand three hundred and one
Binary (base 2)111101001000101
Octal (base 8)75105
Hexadecimal (base 16)7A45
Base 31120221022
As time31301 seconds = 8 h 41 min 41 s

Is 31301 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.
5No (remainder 1)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 4)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 31301 a prime number?

No. 31301 = 113 × 277, so it is divisible by 113.

What are the factors of 31301?

1, 113, 277, 31301.

What is 31301 in binary?

111101001000101 (hexadecimal 7A45, octal 75105).

What is the square root of 31301?

About 176.9209.

Is 31301 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 31301?

31301 is a semiprime: 113 × 277, the product of two primes.

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