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The number 31197

31197 is a composite number with 4 divisors. Its prime factorisation is 3 × 10399. Divisors (4): 1, 3, 10399, 31197.

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How to work it out

  1. 1

    What is special about 31197: a semiprime: 3 × 10399, the product of two primes.

  2. 2

    31197 is composite. Its prime factorisation is

    31197=3×1039931197 = 3 \times 10399
  3. 3

    The divisors add up to 41600; without 31197 itself that is 10403, so 31197 is deficient (10403 is less than 31197). Euler's totient φ(31197) = 20796 numbers up to 31197 share no factor with it.

  4. 4

    The digits of 31197 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31197 = 3 \times 10399 \]

31197 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors41600
Euler totient φ(n)20796
Square973252809
Cube30362567882373
Square root176.626725
Digit sum / digital root21 / 3
Collatz steps to 1147
Scientific notation3.1197 × 10410^{4}

31197 in other forms

FormValue
In wordsthirty-one thousand one hundred and ninety-seven
Binary (base 2)111100111011101
Octal (base 8)74735
Hexadecimal (base 16)79DD
Base 31120210110
As time31197 seconds = 8 h 39 min 57 s

Is 31197 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).
3Yes (31197 ÷ 3 = 10399)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 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31197 a prime number?

No. 31197 = 3 × 10399, so it is divisible by 3.

What are the factors of 31197?

1, 3, 10399, 31197.

What is 31197 in binary?

111100111011101 (hexadecimal 79DD, octal 74735).

What is the square root of 31197?

About 176.6267.

Is 31197 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 31197?

31197 is a semiprime: 3 × 10399, the product of two primes.

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    31197: is it prime? Factors, square root, binary, Roman numeral | WordGPT