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The number 61341

61341 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 23 × 127. Divisors (16): 1, 3, 7, 21, 23, 69, 127, 161, 381, 483, 889, 2667, 2921, 8763, 20447, 61341.

Number

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How to work it out

  1. 1

    61341 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

    61341 is composite. Its prime factorisation is

    61341=3×7×23×12761341 = 3 \times 7 \times 23 \times 127
  3. 3

    The divisors add up to 98304; without 61341 itself that is 36963, so 61341 is deficient (36963 is less than 61341). Euler's totient φ(61341) = 33264 numbers up to 61341 share no factor with it.

  4. 4

    The digits of 61341 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61341 = 3 \times 7 \times 23 \times 127 \]

61341 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors98304
Euler totient φ(n)33264
Square3762718281
Cube230808902074821
Square root247.671153
Digit sum / digital root15 / 6
Collatz steps to 1179
Scientific notation6.1341 × 10410^{4}

61341 in other forms

FormValue
In wordssixty-one thousand three hundred and forty-one
Binary (base 2)1110111110011101
Octal (base 8)167635
Hexadecimal (base 16)EF9D
Base 310010010220
As time61341 seconds = 17 h 2 min 21 s

Is 61341 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).
3Yes (61341 ÷ 3 = 20447)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 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (61341 ÷ 7 = 8763)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61341 a prime number?

No. 61341 = 3 × 7 × 23 × 127, so it is divisible by 3.

What are the factors of 61341?

1, 3, 7, 21, 23, 69, 127, 161, 381, 483, 889, 2667, 2921, 8763, 20447, 61341.

What is 61341 in binary?

1110111110011101 (hexadecimal EF9D, octal 167635).

What is the square root of 61341?

About 247.6712.

Is 61341 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 61341?

It is a composite number with 16 divisors.

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    61341: is it prime? Factors, square root, binary, Roman numeral | WordGPT