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The number 7139

7139 is a composite number with 6 divisors. Its prime factorisation is 11211^{2} Ɨ 59. Divisors (6): 1, 11, 59, 121, 649, 7139.

Number

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How to work it out

  1. 1

    7139 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

    7139 is composite. Its prime factorisation is

    7139=112Ɨ597139 = 11^{2} \times 59
  3. 3

    The divisors add up to 7980; without 7139 itself that is 841, so 7139 is deficient (841 is less than 7139). Euler's totient φ(7139) = 6380 numbers up to 7139 share no factor with it.

  4. 4

    The digits of 7139 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 7139 = 11^{2} \times 59 \]

7139 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors7980
Euler totient φ(n)6380
Square50965321
Cube363841426619
Square root84.492603 (= 11√59)
Digit sum / digital root20 / 2
Collatz steps to 175
Scientific notation7.139 Ɨ 10310^{3}

7139 in other forms

FormValue
In wordsseven thousand one hundred and thirty-nine
Binary (base 2)1101111100011
Octal (base 8)15743
Hexadecimal (base 16)1BE3
Base 3100210102
As time7139 seconds = 1 h 58 min 59 s

Is 7139 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.
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 9)A number is divisible by 10 if the last digit is 0.
11Yes (7139 Ć· 11 = 649)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 7139 a prime number?

No. 7139 = 11211^{2} Ɨ 59, so it is divisible by 11.

What are the factors of 7139?

1, 11, 59, 121, 649, 7139.

What is 7139 in binary?

1101111100011 (hexadecimal 1BE3, octal 15743).

What is the square root of 7139?

About 84.4926, exactly 11√59.

Is 7139 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 7139?

It is a composite number with 6 divisors.

All about 7139

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