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The number 37427

37427 is a composite number with 4 divisors. Its prime factorisation is 13 × 2879. Divisors (4): 1, 13, 2879, 37427.

Number

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How to work it out

  1. 1

    What is special about 37427: a semiprime: 13 × 2879, the product of two primes.

  2. 2

    37427 is composite. Its prime factorisation is

    37427=13×287937427 = 13 \times 2879
  3. 3

    The divisors add up to 40320; without 37427 itself that is 2893, so 37427 is deficient (2893 is less than 37427). Euler's totient φ(37427) = 34536 numbers up to 37427 share no factor with it.

  4. 4

    The digits of 37427 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.

LaTeX source of the formulas on this page
\[ 37427 = 13 \times 2879 \]

37427 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors40320
Euler totient φ(n)34536
Square1400780329
Cube52427005373483
Square root193.460590
Digit sum / digital root23 / 5
Collatz steps to 1199
Scientific notation3.7427 × 10410^{4}

37427 in other forms

FormValue
In wordsthirty-seven thousand four hundred and twenty-seven
Binary (base 2)1001001000110011
Octal (base 8)111063
Hexadecimal (base 16)9233
Base 31220100012
As time37427 seconds = 10 h 23 min 47 s

Is 37427 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 2)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 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 3)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 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)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 37427 a prime number?

No. 37427 = 13 × 2879, so it is divisible by 13.

What are the factors of 37427?

1, 13, 2879, 37427.

What is 37427 in binary?

1001001000110011 (hexadecimal 9233, octal 111063).

What is the square root of 37427?

About 193.4606.

Is 37427 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 37427?

37427 is a semiprime: 13 × 2879, the product of two primes.

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    37427: is it prime? Factors, square root, binary, Roman numeral | WordGPT