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The number 61036

61036 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 15259. Divisors (6): 1, 2, 4, 15259, 30518, 61036.

Number

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How to work it out

  1. 1

    What is special about 61036: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    61036 is composite. Its prime factorisation is

    61036=22×1525961036 = 2^{2} \times 15259
  3. 3

    The divisors add up to 106820; without 61036 itself that is 45784, so 61036 is deficient (45784 is less than 61036). Euler's totient φ(61036) = 30516 numbers up to 61036 share no factor with it.

  4. 4

    The digits of 61036 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61036 = 2^{2} \times 15259 \]

61036 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors106820
Euler totient φ(n)30516
Square3725393296
Cube227383105214656
Square root247.054650 (= 2√15259)
Digit sum / digital root16 / 7
Collatz steps to 186
Scientific notation6.1036 × 10410^{4}

61036 in other forms

FormValue
In wordssixty-one thousand and thirty-six
Binary (base 2)1110111001101100
Octal (base 8)167154
Hexadecimal (base 16)EE6C
Base 310002201121
As time61036 seconds = 16 h 57 min 16 s

Is 61036 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61036 ÷ 2 = 30518)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 (61036 ÷ 4 = 15259)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 3)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 7)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 8)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 61036 a prime number?

No. 61036 = 222^{2} × 15259, so it is divisible by 2.

What are the factors of 61036?

1, 2, 4, 15259, 30518, 61036.

What is 61036 in binary?

1110111001101100 (hexadecimal EE6C, octal 167154).

What is the square root of 61036?

About 247.0546, exactly 2√15259.

Is 61036 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 61036?

61036 is a happy number: repeatedly adding the squares of its digits reaches 1.

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