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The number 46136

46136 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 73 × 79. Divisors (16): 1, 2, 4, 8, 73, 79, 146, 158, 292, 316, 584, 632, 5767, 11534, 23068, 46136.

Number

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How to work it out

  1. 1

    46136 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

    46136 is composite. Its prime factorisation is

    46136=23×73×7946136 = 2^{3} \times 73 \times 79
  3. 3

    The divisors add up to 88800; without 46136 itself that is 42664, so 46136 is deficient (42664 is less than 46136). Euler's totient φ(46136) = 22464 numbers up to 46136 share no factor with it.

  4. 4

    The digits of 46136 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 57 steps to reach 1.

LaTeX source of the formulas on this page
\[ 46136 = 2^{3} \times 73 \times 79 \]

46136 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors88800
Euler totient φ(n)22464
Square2128530496
Cube98201882963456
Square root214.792924 (= 2√11534)
Digit sum / digital root20 / 2
Collatz steps to 157
Scientific notation4.6136 × 10410^{4}

46136 in other forms

FormValue
In wordsforty-six thousand one hundred and thirty-six
Binary (base 2)1011010000111000
Octal (base 8)132070
Hexadecimal (base 16)B438
Base 32100021202
As time46136 seconds = 12 h 48 min 56 s

Is 46136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (46136 ÷ 2 = 23068)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 (46136 ÷ 4 = 11534)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 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.
8Yes (46136 ÷ 8 = 5767)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 46136 a prime number?

No. 46136 = 232^{3} × 73 × 79, so it is divisible by 2.

What are the factors of 46136?

1, 2, 4, 8, 73, 79, 146, 158, 292, 316, 584, 632, 5767, 11534, 23068, 46136.

What is 46136 in binary?

1011010000111000 (hexadecimal B438, octal 132070).

What is the square root of 46136?

About 214.7929, exactly 2√11534.

Is 46136 divisible by 3?

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

What is special about the number 46136?

It is a composite number with 16 divisors.

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    46136: is it prime? Factors, square root, binary, Roman numeral | WordGPT