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The number 61691

61691 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1259. Divisors (6): 1, 7, 49, 1259, 8813, 61691.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    61691 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

    61691 is composite. Its prime factorisation is

    61691=72Ɨ125961691 = 7^{2} \times 1259
  3. 3

    The divisors add up to 71820; without 61691 itself that is 10129, so 61691 is deficient (10129 is less than 61691). Euler's totient φ(61691) = 52836 numbers up to 61691 share no factor with it.

  4. 4

    The digits of 61691 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 73 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61691 = 7^{2} \times 1259 \]

61691 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors71820
Euler totient φ(n)52836
Square3805779481
Cube234782341962371
Square root248.376730 (= 7√1259)
Digit sum / digital root23 / 5
Collatz steps to 173
Scientific notation6.1691 Ɨ 10410^{4}

61691 in other forms

FormValue
In wordssixty-one thousand six hundred and ninety-one
Binary (base 2)1111000011111011
Octal (base 8)170373
Hexadecimal (base 16)F0FB
Base 310010121212
As time61691 seconds = 17 h 8 min 11 s

Is 61691 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 1)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.
7Yes (61691 Ć· 7 = 8813)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 5)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 3)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 61691 a prime number?

No. 61691 = 727^{2} Ɨ 1259, so it is divisible by 7.

What are the factors of 61691?

1, 7, 49, 1259, 8813, 61691.

What is 61691 in binary?

1111000011111011 (hexadecimal F0FB, octal 170373).

What is the square root of 61691?

About 248.3767, exactly 7√1259.

Is 61691 divisible by 3?

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

What is special about the number 61691?

It is a composite number with 6 divisors.

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