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The number 61393

61393 is a composite number with 6 divisors. Its prime factorisation is 29229^{2} Ɨ 73. Divisors (6): 1, 29, 73, 841, 2117, 61393.

Number

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How to work it out

  1. 1

    61393 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

    61393 is composite. Its prime factorisation is

    61393=292Ɨ7361393 = 29^{2} \times 73
  3. 3

    The divisors add up to 64454; without 61393 itself that is 3061, so 61393 is deficient (3061 is less than 61393). Euler's totient φ(61393) = 58464 numbers up to 61393 share no factor with it.

  4. 4

    The digits of 61393 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61393 = 29^{2} \times 73 \]

61393 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors64454
Euler totient φ(n)58464
Square3769100449
Cube231396383865457
Square root247.776109 (= 29√73)
Digit sum / digital root22 / 4
Collatz steps to 160
Scientific notation6.1393 Ɨ 10410^{4}

61393 in other forms

FormValue
In wordssixty-one thousand three hundred and ninety-three
Binary (base 2)1110111111010001
Octal (base 8)167721
Hexadecimal (base 16)EFD1
Base 310010012211
As time61393 seconds = 17 h 3 min 13 s

Is 61393 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 3)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.
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 1)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 3)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 61393 a prime number?

No. 61393 = 29229^{2} Ɨ 73, so it is divisible by 29.

What are the factors of 61393?

1, 29, 73, 841, 2117, 61393.

What is 61393 in binary?

1110111111010001 (hexadecimal EFD1, octal 167721).

What is the square root of 61393?

About 247.7761, exactly 29√73.

Is 61393 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 61393?

It is a composite number with 6 divisors.

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    61393: is it prime? Factors, square root, binary, Roman numeral | WordGPT