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The number 61136

61136 is a composite number with 10 divisors. Its prime factorisation is 242^{4} × 3821. Divisors (10): 1, 2, 4, 8, 16, 3821, 7642, 15284, 30568, 61136.

Number

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How to work it out

  1. 1

    61136 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

    61136 is composite. Its prime factorisation is

    61136=24×382161136 = 2^{4} \times 3821
  3. 3

    The divisors add up to 118482; without 61136 itself that is 57346, so 61136 is deficient (57346 is less than 61136). Euler's totient φ(61136) = 30560 numbers up to 61136 share no factor with it.

  4. 4

    The digits of 61136 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61136 = 2^{4} \times 3821 \]

61136 at a glance

PropertyValue
Typecomposite
Number of divisors10
Sum of divisors118482
Euler totient φ(n)30560
Square3737610496
Cube228502555283456
Square root247.256951 (= 4√3821)
Digit sum / digital root17 / 8
Collatz steps to 134
Scientific notation6.1136 × 10410^{4}

61136 in other forms

FormValue
In wordssixty-one thousand one hundred and thirty-six
Binary (base 2)1110111011010000
Octal (base 8)167320
Hexadecimal (base 16)EED0
Base 310002212022
As time61136 seconds = 16 h 58 min 56 s

Is 61136 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61136 ÷ 2 = 30568)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 (61136 ÷ 4 = 15284)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 5)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 (61136 ÷ 8 = 7642)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 61136 a prime number?

No. 61136 = 242^{4} × 3821, so it is divisible by 2.

What are the factors of 61136?

1, 2, 4, 8, 16, 3821, 7642, 15284, 30568, 61136.

What is 61136 in binary?

1110111011010000 (hexadecimal EED0, octal 167320).

What is the square root of 61136?

About 247.2570, exactly 4√3821.

Is 61136 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 61136?

It is a composite number with 10 divisors.

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