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The number 13139

13139 is a composite number with 4 divisors. Its prime factorisation is 7 × 1877. Divisors (4): 1, 7, 1877, 13139.

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How to work it out

  1. 1

    What is special about 13139: a semiprime: 7 × 1877, the product of two primes.

  2. 2

    13139 is composite. Its prime factorisation is

    13139=7×187713139 = 7 \times 1877
  3. 3

    The divisors add up to 15024; without 13139 itself that is 1885, so 13139 is deficient (1885 is less than 13139). Euler's totient φ(13139) = 11256 numbers up to 13139 share no factor with it.

  4. 4

    The digits of 13139 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13139 = 7 \times 1877 \]

13139 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors15024
Euler totient φ(n)11256
Square172633321
Cube2268229204619
Square root114.625477
Digit sum / digital root17 / 8
Collatz steps to 1213
Scientific notation1.3139 × 10410^{4}

13139 in other forms

FormValue
In wordsthirteen thousand one hundred and thirty-nine
Binary (base 2)11001101010011
Octal (base 8)31523
Hexadecimal (base 16)3353
Base 3200000122
As time13139 seconds = 3 h 38 min 59 s

Is 13139 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 4)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.
7Yes (13139 ÷ 7 = 1877)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 8)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 5)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 13139 a prime number?

No. 13139 = 7 × 1877, so it is divisible by 7.

What are the factors of 13139?

1, 7, 1877, 13139.

What is 13139 in binary?

11001101010011 (hexadecimal 3353, octal 31523).

What is the square root of 13139?

About 114.6255.

Is 13139 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 13139?

13139 is a semiprime: 7 × 1877, the product of two primes.

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