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The number 16403

16403 is a composite number with 4 divisors. Its prime factorisation is 47 × 349. Divisors (4): 1, 47, 349, 16403.

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How to work it out

  1. 1

    What is special about 16403: a semiprime: 47 × 349, the product of two primes.

  2. 2

    16403 is composite. Its prime factorisation is

    16403=47×34916403 = 47 \times 349
  3. 3

    The divisors add up to 16800; without 16403 itself that is 397, so 16403 is deficient (397 is less than 16403). Euler's totient φ(16403) = 16008 numbers up to 16403 share no factor with it.

  4. 4

    The digits of 16403 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16403 = 47 \times 349 \]

16403 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors16800
Euler totient φ(n)16008
Square269058409
Cube4413365082827
Square root128.074197
Digit sum / digital root14 / 5
Collatz steps to 1115
Scientific notation1.6403 × 10410^{4}

16403 in other forms

FormValue
In wordssixteen thousand four hundred and three
Binary (base 2)100000000010011
Octal (base 8)40023
Hexadecimal (base 16)4013
Base 3211111112
As time16403 seconds = 4 h 33 min 23 s

Is 16403 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 3)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 2)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 3)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 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 16403 a prime number?

No. 16403 = 47 × 349, so it is divisible by 47.

What are the factors of 16403?

1, 47, 349, 16403.

What is 16403 in binary?

100000000010011 (hexadecimal 4013, octal 40023).

What is the square root of 16403?

About 128.0742.

Is 16403 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 16403?

16403 is a semiprime: 47 × 349, the product of two primes.

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