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The number 60987

60987 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 701. Divisors (8): 1, 3, 29, 87, 701, 2103, 20329, 60987.

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How to work it out

  1. 1

    What is special about 60987: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60987 is composite. Its prime factorisation is

    60987=3×29×70160987 = 3 \times 29 \times 701
  3. 3

    The divisors add up to 84240; without 60987 itself that is 23253, so 60987 is deficient (23253 is less than 60987). Euler's totient φ(60987) = 39200 numbers up to 60987 share no factor with it.

  4. 4

    The digits of 60987 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60987 = 3 \times 29 \times 701 \]

60987 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors84240
Euler totient φ(n)39200
Square3719414169
Cube226835911924803
Square root246.955462
Digit sum / digital root30 / 3
Collatz steps to 1223
Scientific notation6.0987 × 10410^{4}

60987 in other forms

FormValue
In wordssixty thousand nine hundred and eighty-seven
Binary (base 2)1110111000111011
Octal (base 8)167073
Hexadecimal (base 16)EE3B
Base 310002122210
As time60987 seconds = 16 h 56 min 27 s

Is 60987 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 (60987 ÷ 3 = 20329)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 2)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 3)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 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60987 a prime number?

No. 60987 = 3 × 29 × 701, so it is divisible by 3.

What are the factors of 60987?

1, 3, 29, 87, 701, 2103, 20329, 60987.

What is 60987 in binary?

1110111000111011 (hexadecimal EE3B, octal 167073).

What is the square root of 60987?

About 246.9555.

Is 60987 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 60987?

60987 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60987: is it prime? Factors, square root, binary, Roman numeral | WordGPT