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The number 61709

61709 is a composite number with 4 divisors. Its prime factorisation is 23 × 2683. Divisors (4): 1, 23, 2683, 61709.

Number

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How to work it out

  1. 1

    What is special about 61709: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2683, the product of two primes.

  2. 2

    61709 is composite. Its prime factorisation is

    61709=23×268361709 = 23 \times 2683
  3. 3

    The divisors add up to 64416; without 61709 itself that is 2707, so 61709 is deficient (2707 is less than 61709). Euler's totient φ(61709) = 59004 numbers up to 61709 share no factor with it.

  4. 4

    The digits of 61709 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61709 = 23 \times 2683 \]

61709 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors64416
Euler totient φ(n)59004
Square3808000681
Cube234987914023829
Square root248.412963
Digit sum / digital root23 / 5
Collatz steps to 186
Scientific notation6.1709 × 10410^{4}

61709 in other forms

FormValue
In wordssixty-one thousand seven hundred and nine
Binary (base 2)1111000100001101
Octal (base 8)170415
Hexadecimal (base 16)F10D
Base 310010122112
As time61709 seconds = 17 h 8 min 29 s

Is 61709 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 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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 5)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61709 a prime number?

No. 61709 = 23 × 2683, so it is divisible by 23.

What are the factors of 61709?

1, 23, 2683, 61709.

What is 61709 in binary?

1111000100001101 (hexadecimal F10D, octal 170415).

What is the square root of 61709?

About 248.4130.

Is 61709 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 61709?

61709 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 23; a semiprime: 23 × 2683, the product of two primes.

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