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The number 61741

61741 is a composite number with 4 divisors. Its prime factorisation is 29 × 2129. Divisors (4): 1, 29, 2129, 61741.

Number

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How to work it out

  1. 1

    What is special about 61741: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 2129, the product of two primes.

  2. 2

    61741 is composite. Its prime factorisation is

    61741=29×212961741 = 29 \times 2129
  3. 3

    The divisors add up to 63900; without 61741 itself that is 2159, so 61741 is deficient (2159 is less than 61741). Euler's totient φ(61741) = 59584 numbers up to 61741 share no factor with it.

  4. 4

    The digits of 61741 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61741 = 29 \times 2129 \]

61741 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors63900
Euler totient φ(n)59584
Square3811951081
Cube235353671692021
Square root248.477363
Digit sum / digital root19 / 1
Collatz steps to 155
Scientific notation6.1741 × 10410^{4}

61741 in other forms

FormValue
In wordssixty-one thousand seven hundred and forty-one
Binary (base 2)1111000100101101
Octal (base 8)170455
Hexadecimal (base 16)F12D
Base 310010200201
As time61741 seconds = 17 h 9 min 1 s

Is 61741 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 1)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 1)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 1)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 9)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 61741 a prime number?

No. 61741 = 29 × 2129, so it is divisible by 29.

What are the factors of 61741?

1, 29, 2129, 61741.

What is 61741 in binary?

1111000100101101 (hexadecimal F12D, octal 170455).

What is the square root of 61741?

About 248.4774.

Is 61741 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 61741?

61741 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 2129, the product of two primes.

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