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The number 7438

7438 is a composite number with 4 divisors. Its prime factorisation is 2 × 3719. Divisors (4): 1, 2, 3719, 7438.

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How to work it out

  1. 1

    What is special about 7438: a semiprime: 2 × 3719, the product of two primes.

  2. 2

    7438 is composite. Its prime factorisation is

    7438=2×37197438 = 2 \times 3719
  3. 3

    The divisors add up to 11160; without 7438 itself that is 3722, so 7438 is deficient (3722 is less than 7438). Euler's totient φ(7438) = 3718 numbers up to 7438 share no factor with it.

  4. 4

    The digits of 7438 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 44 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7438 = 2 \times 3719 \]

7438 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors11160
Euler totient φ(n)3718
Square55323844
Cube411498751672
Square root86.243840
Digit sum / digital root22 / 4
Collatz steps to 144
Scientific notation7.438 × 10310^{3}

7438 in other forms

FormValue
In wordsseven thousand four hundred and thirty-eight
Binary (base 2)1110100001110
Octal (base 8)16416
Hexadecimal (base 16)1D0E
Base 3101012111
As time7438 seconds = 2 h 3 min 58 s

Is 7438 divisible by 2 to 12?

DivisorAnswerRule
2Yes (7438 ÷ 2 = 3719)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 6)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 7438 a prime number?

No. 7438 = 2 × 3719, so it is divisible by 2.

What are the factors of 7438?

1, 2, 3719, 7438.

What is 7438 in binary?

1110100001110 (hexadecimal 1D0E, octal 16416).

What is the square root of 7438?

About 86.2438.

Is 7438 divisible by 3?

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

What is special about the number 7438?

7438 is a semiprime: 2 × 3719, the product of two primes.

All about 7438

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