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The number 61739

61739 is a composite number with 4 divisors. Its prime factorisation is 107 × 577. Divisors (4): 1, 107, 577, 61739.

Number

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How to work it out

  1. 1

    What is special about 61739: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 577, the product of two primes.

  2. 2

    61739 is composite. Its prime factorisation is

    61739=107×57761739 = 107 \times 577
  3. 3

    The divisors add up to 62424; without 61739 itself that is 685, so 61739 is deficient (685 is less than 61739). Euler's totient φ(61739) = 61056 numbers up to 61739 share no factor with it.

  4. 4

    The digits of 61739 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61739 = 107 \times 577 \]

61739 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors62424
Euler totient φ(n)61056
Square3811704121
Cube235330800726419
Square root248.473339
Digit sum / digital root26 / 8
Collatz steps to 186
Scientific notation6.1739 × 10410^{4}

61739 in other forms

FormValue
In wordssixty-one thousand seven hundred and thirty-nine
Binary (base 2)1111000100101011
Octal (base 8)170453
Hexadecimal (base 16)F12B
Base 310010200122
As time61739 seconds = 17 h 8 min 59 s

Is 61739 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 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 6)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61739 a prime number?

No. 61739 = 107 × 577, so it is divisible by 107.

What are the factors of 61739?

1, 107, 577, 61739.

What is 61739 in binary?

1111000100101011 (hexadecimal F12B, octal 170453).

What is the square root of 61739?

About 248.4733.

Is 61739 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 61739?

61739 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 577, the product of two primes.

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    61739: is it prime? Factors, square root, binary, Roman numeral | WordGPT