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The number 76136

76136 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 31 × 307. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 248, 307, 614, 1228, 2456, 9517, 19034, 38068, 76136.

Number

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How to work it out

  1. 1

    76136 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

    76136 is composite. Its prime factorisation is

    76136=23×31×30776136 = 2^{3} \times 31 \times 307
  3. 3

    The divisors add up to 147840; without 76136 itself that is 71704, so 76136 is deficient (71704 is less than 76136). Euler's totient φ(76136) = 36720 numbers up to 76136 share no factor with it.

  4. 4

    The digits of 76136 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 76136 = 2^{3} \times 31 \times 307 \]

76136 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors147840
Euler totient φ(n)36720
Square5796690496
Cube441336827603456
Square root275.927527 (= 2√19034)
Digit sum / digital root23 / 5
Collatz steps to 181
Scientific notation7.6136 × 10410^{4}

76136 in other forms

FormValue
In wordsseventy-six thousand one hundred and thirty-six
Binary (base 2)10010100101101000
Octal (base 8)224550
Hexadecimal (base 16)12968
Base 310212102212
As time76136 seconds = 21 h 8 min 56 s

Is 76136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (76136 ÷ 2 = 38068)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.
4Yes (76136 ÷ 4 = 19034)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (76136 ÷ 8 = 9517)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 76136 a prime number?

No. 76136 = 232^{3} × 31 × 307, so it is divisible by 2.

What are the factors of 76136?

1, 2, 4, 8, 31, 62, 124, 248, 307, 614, 1228, 2456, 9517, 19034, 38068, 76136.

What is 76136 in binary?

10010100101101000 (hexadecimal 12968, octal 224550).

What is the square root of 76136?

About 275.9275, exactly 2√19034.

Is 76136 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 76136?

It is a composite number with 16 divisors.

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    76136: is it prime? Factors, square root, binary, Roman numeral | WordGPT