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The number 61484

61484 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 19 × 809. Divisors (12): 1, 2, 4, 19, 38, 76, 809, 1618, 3236, 15371, 30742, 61484.

Number

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How to work it out

  1. 1

    What is special about 61484: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    61484 is composite. Its prime factorisation is

    61484=22×19×80961484 = 2^{2} \times 19 \times 809
  3. 3

    The divisors add up to 113400; without 61484 itself that is 51916, so 61484 is deficient (51916 is less than 61484). Euler's totient φ(61484) = 29088 numbers up to 61484 share no factor with it.

  4. 4

    The digits of 61484 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 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61484 = 2^{2} \times 19 \times 809 \]

61484 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors113400
Euler totient φ(n)29088
Square3780282256
Cube232426874227904
Square root247.959674 (= 2√15371)
Digit sum / digital root23 / 5
Collatz steps to 142
Scientific notation6.1484 × 10410^{4}

61484 in other forms

FormValue
In wordssixty-one thousand four hundred and eighty-four
Binary (base 2)1111000000101100
Octal (base 8)170054
Hexadecimal (base 16)F02C
Base 310010100012
As time61484 seconds = 17 h 4 min 44 s

Is 61484 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61484 ÷ 2 = 30742)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 (61484 ÷ 4 = 15371)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 4)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 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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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 61484 a prime number?

No. 61484 = 222^{2} × 19 × 809, so it is divisible by 2.

What are the factors of 61484?

1, 2, 4, 19, 38, 76, 809, 1618, 3236, 15371, 30742, 61484.

What is 61484 in binary?

1111000000101100 (hexadecimal F02C, octal 170054).

What is the square root of 61484?

About 247.9597, exactly 2√15371.

Is 61484 divisible by 3?

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

What is special about the number 61484?

61484 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    61484: is it prime? Factors, square root, binary, Roman numeral | WordGPT