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The number 30991

30991 is a composite number with 4 divisors. Its prime factorisation is 17 × 1823. Divisors (4): 1, 17, 1823, 30991.

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How to work it out

  1. 1

    What is special about 30991: a semiprime: 17 × 1823, the product of two primes.

  2. 2

    30991 is composite. Its prime factorisation is

    30991=17×182330991 = 17 \times 1823
  3. 3

    The divisors add up to 32832; without 30991 itself that is 1841, so 30991 is deficient (1841 is less than 30991). Euler's totient φ(30991) = 29152 numbers up to 30991 share no factor with it.

  4. 4

    The digits of 30991 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.

LaTeX source of the formulas on this page
\[ 30991 = 17 \times 1823 \]

30991 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors32832
Euler totient φ(n)29152
Square960442081
Cube29765060532271
Square root176.042608
Digit sum / digital root22 / 4
Collatz steps to 1116
Scientific notation3.0991 × 10410^{4}

30991 in other forms

FormValue
In wordsthirty thousand nine hundred and ninety-one
Binary (base 2)111100100001111
Octal (base 8)74417
Hexadecimal (base 16)790F
Base 31120111211
As time30991 seconds = 8 h 36 min 31 s

Is 30991 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 1)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 30991 a prime number?

No. 30991 = 17 × 1823, so it is divisible by 17.

What are the factors of 30991?

1, 17, 1823, 30991.

What is 30991 in binary?

111100100001111 (hexadecimal 790F, octal 74417).

What is the square root of 30991?

About 176.0426.

Is 30991 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 30991?

30991 is a semiprime: 17 × 1823, the product of two primes.

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    30991: is it prime? Factors, square root, binary, Roman numeral | WordGPT