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The number 5139

5139 is a composite number with 6 divisors. Its prime factorisation is 323^{2} × 571. Divisors (6): 1, 3, 9, 571, 1713, 5139.

Number

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How to work it out

  1. 1

    5139 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    5139 is composite. Its prime factorisation is

    5139=32×5715139 = 3^{2} \times 571
  3. 3

    The divisors add up to 7436; without 5139 itself that is 2297, so 5139 is deficient (2297 is less than 5139). Euler's totient φ(5139) = 3420 numbers up to 5139 share no factor with it.

  4. 4

    The digits of 5139 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5139 = 3^{2} \times 571 \]

5139 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors7436
Euler totient φ(n)3420
Square26409321
Cube135717500619
Square root71.686819 (= 3√571)
Digit sum / digital root18 / 9
Collatz steps to 154
Scientific notation5.139 × 10310^{3}

5139 in other forms

FormValue
In wordsfive thousand one hundred and thirty-nine
Binary (base 2)1010000010011
Octal (base 8)12023
Hexadecimal (base 16)1413
Base 321001100
As time5139 seconds = 1 h 25 min 39 s

Is 5139 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 (5139 ÷ 3 = 1713)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 4)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 1)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.
9Yes (5139 ÷ 9 = 571)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 5139 a prime number?

No. 5139 = 323^{2} × 571, so it is divisible by 3.

What are the factors of 5139?

1, 3, 9, 571, 1713, 5139.

What is 5139 in binary?

1010000010011 (hexadecimal 1413, octal 12023).

What is the square root of 5139?

About 71.6868, exactly 3√571.

Is 5139 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 5139?

It is a composite number with 6 divisors.

All about 5139

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