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The number 47397

47397 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 61. Divisors (16): 1, 3, 7, 21, 37, 61, 111, 183, 259, 427, 777, 1281, 2257, 6771, 15799, 47397.

Number

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How to work it out

  1. 1

    47397 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    47397 is composite. Its prime factorisation is

    47397=3×7×37×6147397 = 3 \times 7 \times 37 \times 61
  3. 3

    The divisors add up to 75392; without 47397 itself that is 27995, so 47397 is deficient (27995 is less than 47397). Euler's totient φ(47397) = 25920 numbers up to 47397 share no factor with it.

  4. 4

    The digits of 47397 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47397 = 3 \times 7 \times 37 \times 61 \]

47397 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors75392
Euler totient φ(n)25920
Square2246475609
Cube106476204439773
Square root217.708521
Digit sum / digital root30 / 3
Collatz steps to 1101
Scientific notation4.7397 × 10410^{4}

47397 in other forms

FormValue
In wordsforty-seven thousand three hundred and ninety-seven
Binary (base 2)1011100100100101
Octal (base 8)134445
Hexadecimal (base 16)B925
Base 32102000110
As time47397 seconds = 13 h 9 min 57 s

Is 47397 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 (47397 ÷ 3 = 15799)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.
7Yes (47397 ÷ 7 = 6771)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 9)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 47397 a prime number?

No. 47397 = 3 × 7 × 37 × 61, so it is divisible by 3.

What are the factors of 47397?

1, 3, 7, 21, 37, 61, 111, 183, 259, 427, 777, 1281, 2257, 6771, 15799, 47397.

What is 47397 in binary?

1011100100100101 (hexadecimal B925, octal 134445).

What is the square root of 47397?

About 217.7085.

Is 47397 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 47397?

It is a composite number with 16 divisors.

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    47397: is it prime? Factors, square root, binary, Roman numeral | WordGPT