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The number 61676

61676 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 17 × 907. Divisors (12): 1, 2, 4, 17, 34, 68, 907, 1814, 3628, 15419, 30838, 61676.

Number

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How to work it out

  1. 1

    61676 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

    61676 is composite. Its prime factorisation is

    61676=22×17×90761676 = 2^{2} \times 17 \times 907
  3. 3

    The divisors add up to 114408; without 61676 itself that is 52732, so 61676 is deficient (52732 is less than 61676). Euler's totient φ(61676) = 28992 numbers up to 61676 share no factor with it.

  4. 4

    The digits of 61676 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 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61676 = 2^{2} \times 17 \times 907 \]

61676 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors114408
Euler totient φ(n)28992
Square3803928976
Cube234611123523776
Square root248.346532 (= 2√15419)
Digit sum / digital root26 / 8
Collatz steps to 1148
Scientific notation6.1676 × 10410^{4}

61676 in other forms

FormValue
In wordssixty-one thousand six hundred and seventy-six
Binary (base 2)1111000011101100
Octal (base 8)170354
Hexadecimal (base 16)F0EC
Base 310010121022
As time61676 seconds = 17 h 7 min 56 s

Is 61676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61676 ÷ 2 = 30838)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.
4Yes (61676 ÷ 4 = 15419)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 2)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 4)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 6)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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61676 a prime number?

No. 61676 = 222^{2} × 17 × 907, so it is divisible by 2.

What are the factors of 61676?

1, 2, 4, 17, 34, 68, 907, 1814, 3628, 15419, 30838, 61676.

What is 61676 in binary?

1111000011101100 (hexadecimal F0EC, octal 170354).

What is the square root of 61676?

About 248.3465, exactly 2√15419.

Is 61676 divisible by 3?

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

What is special about the number 61676?

It is a composite number with 12 divisors.

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