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The number 5123

5123 is a composite number with 4 divisors. Its prime factorisation is 47 × 109. Divisors (4): 1, 47, 109, 5123.

Number

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How to work it out

  1. 1

    What is special about 5123: a semiprime: 47 × 109, the product of two primes.

  2. 2

    5123 is composite. Its prime factorisation is

    5123=47×1095123 = 47 \times 109
  3. 3

    The divisors add up to 5280; without 5123 itself that is 157, so 5123 is deficient (157 is less than 5123). Euler's totient φ(5123) = 4968 numbers up to 5123 share no factor with it.

  4. 4

    The digits of 5123 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5123 = 47 \times 109 \]

5123 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5280
Euler totient φ(n)4968
Square26245129
Cube134453795867
Square root71.575135
Digit sum / digital root11 / 2
Collatz steps to 1147
Scientific notation5.123 × 10310^{3}

5123 in other forms

FormValue
In wordsfive thousand one hundred and twenty-three
Binary (base 2)1010000000011
Octal (base 8)12003
Hexadecimal (base 16)1403
Base 321000202
As time5123 seconds = 1 h 25 min 23 s

Is 5123 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 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 2)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 8)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 5123 a prime number?

No. 5123 = 47 × 109, so it is divisible by 47.

What are the factors of 5123?

1, 47, 109, 5123.

What is 5123 in binary?

1010000000011 (hexadecimal 1403, octal 12003).

What is the square root of 5123?

About 71.5751.

Is 5123 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 5123?

5123 is a semiprime: 47 × 109, the product of two primes.

All about 5123

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