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The number 61789

61789 is a composite number with 12 divisors. Its prime factorisation is 727^{2} × 13 × 97. Divisors (12): 1, 7, 13, 49, 91, 97, 637, 679, 1261, 4753, 8827, 61789.

Number

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How to work it out

  1. 1

    61789 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

    61789 is composite. Its prime factorisation is

    61789=72×13×9761789 = 7^{2} \times 13 \times 97
  3. 3

    The divisors add up to 78204; without 61789 itself that is 16415, so 61789 is deficient (16415 is less than 61789). Euler's totient φ(61789) = 48384 numbers up to 61789 share no factor with it.

  4. 4

    The digits of 61789 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61789 = 7^{2} \times 13 \times 97 \]

61789 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors78204
Euler totient φ(n)48384
Square3817880521
Cube235903019512069
Square root248.573933 (= 7√1261)
Digit sum / digital root31 / 4
Collatz steps to 155
Scientific notation6.1789 × 10410^{4}

61789 in other forms

FormValue
In wordssixty-one thousand seven hundred and eighty-nine
Binary (base 2)1111000101011101
Octal (base 8)170535
Hexadecimal (base 16)F15D
Base 310010202111
As time61789 seconds = 17 h 9 min 49 s

Is 61789 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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.
4No (remainder 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (61789 ÷ 7 = 8827)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61789 a prime number?

No. 61789 = 727^{2} × 13 × 97, so it is divisible by 7.

What are the factors of 61789?

1, 7, 13, 49, 91, 97, 637, 679, 1261, 4753, 8827, 61789.

What is 61789 in binary?

1111000101011101 (hexadecimal F15D, octal 170535).

What is the square root of 61789?

About 248.5739, exactly 7√1261.

Is 61789 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 61789?

It is a composite number with 12 divisors.

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    61789: is it prime? Factors, square root, binary, Roman numeral | WordGPT