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The number 5403

5403 is a composite number with 4 divisors. Its prime factorisation is 3 × 1801. Divisors (4): 1, 3, 1801, 5403.

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How to work it out

  1. 1

    What is special about 5403: a semiprime: 3 × 1801, the product of two primes.

  2. 2

    5403 is composite. Its prime factorisation is

    5403=3×18015403 = 3 \times 1801
  3. 3

    The divisors add up to 7208; without 5403 itself that is 1805, so 5403 is deficient (1805 is less than 5403). Euler's totient φ(5403) = 3600 numbers up to 5403 share no factor with it.

  4. 4

    The digits of 5403 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5403 = 3 \times 1801 \]

5403 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors7208
Euler totient φ(n)3600
Square29192409
Cube157726585827
Square root73.505102
Digit sum / digital root12 / 3
Collatz steps to 172
Scientific notation5.403 × 10310^{3}

5403 in other forms

FormValue
In wordsfive thousand four hundred and three
Binary (base 2)1010100011011
Octal (base 8)12433
Hexadecimal (base 16)151B
Base 321102010
As time5403 seconds = 1 h 30 min 3 s

Is 5403 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 (5403 ÷ 3 = 1801)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5403 a prime number?

No. 5403 = 3 × 1801, so it is divisible by 3.

What are the factors of 5403?

1, 3, 1801, 5403.

What is 5403 in binary?

1010100011011 (hexadecimal 151B, octal 12433).

What is the square root of 5403?

About 73.5051.

Is 5403 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 5403?

5403 is a semiprime: 3 × 1801, the product of two primes.

All about 5403

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