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The number 9123

9123 is a composite number with 4 divisors. Its prime factorisation is 3 × 3041. Divisors (4): 1, 3, 3041, 9123.

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How to work it out

  1. 1

    What is special about 9123: a semiprime: 3 × 3041, the product of two primes.

  2. 2

    9123 is composite. Its prime factorisation is

    9123=3×30419123 = 3 \times 3041
  3. 3

    The divisors add up to 12168; without 9123 itself that is 3045, so 9123 is deficient (3045 is less than 9123). Euler's totient φ(9123) = 6080 numbers up to 9123 share no factor with it.

  4. 4

    The digits of 9123 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 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 9123 = 3 \times 3041 \]

9123 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12168
Euler totient φ(n)6080
Square83229129
Cube759299343867
Square root95.514397
Digit sum / digital root15 / 6
Collatz steps to 160
Scientific notation9.123 × 10310^{3}

9123 in other forms

FormValue
In wordsnine thousand one hundred and twenty-three
Binary (base 2)10001110100011
Octal (base 8)21643
Hexadecimal (base 16)23A3
Base 3110111220
As time9123 seconds = 2 h 32 min 3 s

Is 9123 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 (9123 ÷ 3 = 3041)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 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 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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 9123 a prime number?

No. 9123 = 3 × 3041, so it is divisible by 3.

What are the factors of 9123?

1, 3, 3041, 9123.

What is 9123 in binary?

10001110100011 (hexadecimal 23A3, octal 21643).

What is the square root of 9123?

About 95.5144.

Is 9123 divisible by 3?

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

What is special about the number 9123?

9123 is a semiprime: 3 × 3041, the product of two primes.

All about 9123

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