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The number 76139

76139 is a composite number with 8 divisors. Its prime factorisation is 7 × 73 × 149. Divisors (8): 1, 7, 73, 149, 511, 1043, 10877, 76139.

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How to work it out

  1. 1

    What is special about 76139: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    76139 is composite. Its prime factorisation is

    76139=7×73×14976139 = 7 \times 73 \times 149
  3. 3

    The divisors add up to 88800; without 76139 itself that is 12661, so 76139 is deficient (12661 is less than 76139). Euler's totient φ(76139) = 63936 numbers up to 76139 share no factor with it.

  4. 4

    The digits of 76139 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 262 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76139 = 7 \times 73 \times 149 \]

76139 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors88800
Euler totient φ(n)63936
Square5797147321
Cube441388999873619
Square root275.932963
Digit sum / digital root26 / 8
Collatz steps to 1262
Scientific notation7.6139 × 10410^{4}

76139 in other forms

FormValue
In wordsseventy-six thousand one hundred and thirty-nine
Binary (base 2)10010100101101011
Octal (base 8)224553
Hexadecimal (base 16)1296B
Base 310212102222
As time76139 seconds = 21 h 8 min 59 s

Is 76139 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 (76139 ÷ 7 = 10877)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 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 76139 a prime number?

No. 76139 = 7 × 73 × 149, so it is divisible by 7.

What are the factors of 76139?

1, 7, 73, 149, 511, 1043, 10877, 76139.

What is 76139 in binary?

10010100101101011 (hexadecimal 1296B, octal 224553).

What is the square root of 76139?

About 275.9330.

Is 76139 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 76139?

76139 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    76139: is it prime? Factors, square root, binary, Roman numeral | WordGPT