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The number 76036

76036 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 19009. Divisors (6): 1, 2, 4, 19009, 38018, 76036.

Number

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How to work it out

  1. 1

    What is special about 76036: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    76036 is composite. Its prime factorisation is

    76036=22×1900976036 = 2^{2} \times 19009
  3. 3

    The divisors add up to 133070; without 76036 itself that is 57034, so 76036 is deficient (57034 is less than 76036). Euler's totient φ(76036) = 38016 numbers up to 76036 share no factor with it.

  4. 4

    The digits of 76036 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76036 = 2^{2} \times 19009 \]

76036 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors133070
Euler totient φ(n)38016
Square5781473296
Cube439600103534656
Square root275.746260 (= 2√19009)
Digit sum / digital root22 / 4
Collatz steps to 1125
Scientific notation7.6036 × 10410^{4}

76036 in other forms

FormValue
In wordsseventy-six thousand and thirty-six
Binary (base 2)10010100100000100
Octal (base 8)224404
Hexadecimal (base 16)12904
Base 310212022011
As time76036 seconds = 21 h 7 min 16 s

Is 76036 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76036 ÷ 2 = 38018)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (76036 ÷ 4 = 19009)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76036 a prime number?

No. 76036 = 222^{2} × 19009, so it is divisible by 2.

What are the factors of 76036?

1, 2, 4, 19009, 38018, 76036.

What is 76036 in binary?

10010100100000100 (hexadecimal 12904, octal 224404).

What is the square root of 76036?

About 275.7463, exactly 2√19009.

Is 76036 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 76036?

76036 is a happy number: repeatedly adding the squares of its digits reaches 1.

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