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The number 16738

16738 is a composite number with 4 divisors. Its prime factorisation is 2 × 8369. Divisors (4): 1, 2, 8369, 16738.

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How to work it out

  1. 1

    What is special about 16738: a semiprime: 2 × 8369, the product of two primes.

  2. 2

    16738 is composite. Its prime factorisation is

    16738=2×836916738 = 2 \times 8369
  3. 3

    The divisors add up to 25110; without 16738 itself that is 8372, so 16738 is deficient (8372 is less than 16738). Euler's totient φ(16738) = 8368 numbers up to 16738 share no factor with it.

  4. 4

    The digits of 16738 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16738 = 2 \times 8369 \]

16738 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors25110
Euler totient φ(n)8368
Square280160644
Cube4689328859272
Square root129.375423
Digit sum / digital root25 / 7
Collatz steps to 140
Scientific notation1.6738 × 10410^{4}

16738 in other forms

FormValue
In wordssixteen thousand seven hundred and thirty-eight
Binary (base 2)100000101100010
Octal (base 8)40542
Hexadecimal (base 16)4162
Base 3211221221
As time16738 seconds = 4 h 38 min 58 s

Is 16738 divisible by 2 to 12?

DivisorAnswerRule
2Yes (16738 ÷ 2 = 8369)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 1)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 7)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 16738 a prime number?

No. 16738 = 2 × 8369, so it is divisible by 2.

What are the factors of 16738?

1, 2, 8369, 16738.

What is 16738 in binary?

100000101100010 (hexadecimal 4162, octal 40542).

What is the square root of 16738?

About 129.3754.

Is 16738 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 16738?

16738 is a semiprime: 2 × 8369, the product of two primes.

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