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The number 681

681 is a composite number with 4 divisors. Its prime factorisation is 3 × 227. Divisors (4): 1, 3, 227, 681.

Number

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How to work it out

  1. 1

    What is special about 681: a semiprime: 3 × 227, the product of two primes.

  2. 2

    681 is composite. Its prime factorisation is

    681=3×227681 = 3 \times 227
  3. 3

    The divisors add up to 912; without 681 itself that is 231, so 681 is deficient (231 is less than 681). Euler's totient φ(681) = 452 numbers up to 681 share no factor with it.

  4. 4

    The digits of 681 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.

LaTeX source of the formulas on this page
\[ 681 = 3 \times 227 \]

681 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors912
Euler totient φ(n)452
Square463761
Cube315821241
Square root26.095977
Digit sum / digital root15 / 6
Collatz steps to 164
Scientific notation6.81 × 10210^{2}

681 in other forms

FormValue
In wordssix hundred and eighty-one
Roman numeralsDCLXXXI
Binary (base 2)1010101001
Octal (base 8)1251
Hexadecimal (base 16)2A9
Base 3221020
As time681 seconds = 11 min 21 s

Is 681 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).
3Yes (681 ÷ 3 = 227)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 681 a prime number?

No. 681 = 3 × 227, so it is divisible by 3.

What are the factors of 681?

1, 3, 227, 681.

What is 681 in binary?

1010101001 (hexadecimal 2A9, octal 1251).

What is the square root of 681?

About 26.0960.

What is 681 in Roman numerals?

DCLXXXI.

Is 681 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 681?

681 is a semiprime: 3 × 227, the product of two primes.

All about 681

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