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The number 8133

8133 is a composite number with 4 divisors. Its prime factorisation is 3 × 2711. Divisors (4): 1, 3, 2711, 8133.

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How to work it out

  1. 1

    What is special about 8133: a semiprime: 3 × 2711, the product of two primes.

  2. 2

    8133 is composite. Its prime factorisation is

    8133=3×27118133 = 3 \times 2711
  3. 3

    The divisors add up to 10848; without 8133 itself that is 2715, so 8133 is deficient (2715 is less than 8133). Euler's totient φ(8133) = 5420 numbers up to 8133 share no factor with it.

  4. 4

    The digits of 8133 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page
\[ 8133 = 3 \times 2711 \]

8133 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors10848
Euler totient φ(n)5420
Square66145689
Cube537962888637
Square root90.183147
Digit sum / digital root15 / 6
Collatz steps to 1114
Scientific notation8.133 × 10310^{3}

8133 in other forms

FormValue
In wordseight thousand one hundred and thirty-three
Binary (base 2)1111111000101
Octal (base 8)17705
Hexadecimal (base 16)1FC5
Base 3102011020
As time8133 seconds = 2 h 15 min 33 s

Is 8133 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 (8133 ÷ 3 = 2711)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 8133 a prime number?

No. 8133 = 3 × 2711, so it is divisible by 3.

What are the factors of 8133?

1, 3, 2711, 8133.

What is 8133 in binary?

1111111000101 (hexadecimal 1FC5, octal 17705).

What is the square root of 8133?

About 90.1831.

Is 8133 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 8133?

8133 is a semiprime: 3 × 2711, the product of two primes.

All about 8133

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