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The number 60939

60939 is a composite number with 16 divisors. Its prime factorisation is 333^{3} × 37 × 61. Divisors (16): 1, 3, 9, 27, 37, 61, 111, 183, 333, 549, 999, 1647, 2257, 6771, 20313, 60939.

Number

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How to work it out

  1. 1

    What is special about 60939: a Harshad number: divisible by its digit sum 27.

  2. 2

    60939 is composite. Its prime factorisation is

    60939=33×37×6160939 = 3^{3} \times 37 \times 61
  3. 3

    The divisors add up to 94240; without 60939 itself that is 33301, so 60939 is deficient (33301 is less than 60939). Euler's totient φ(60939) = 38880 numbers up to 60939 share no factor with it.

  4. 4

    The digits of 60939 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60939 = 3^{3} \times 37 \times 61 \]

60939 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors94240
Euler totient φ(n)38880
Square3713561721
Cube226300737716019
Square root246.858259 (= 3√6771)
Digit sum / digital root27 / 9
Collatz steps to 186
Scientific notation6.0939 × 10410^{4}

60939 in other forms

FormValue
In wordssixty thousand nine hundred and thirty-nine
Binary (base 2)1110111000001011
Octal (base 8)167013
Hexadecimal (base 16)EE0B
Base 310002121000
As time60939 seconds = 16 h 55 min 39 s

Is 60939 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 (60939 ÷ 3 = 20313)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 4)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 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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (60939 ÷ 9 = 6771)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 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60939 a prime number?

No. 60939 = 333^{3} × 37 × 61, so it is divisible by 3.

What are the factors of 60939?

1, 3, 9, 27, 37, 61, 111, 183, 333, 549, 999, 1647, 2257, 6771, 20313, 60939.

What is 60939 in binary?

1110111000001011 (hexadecimal EE0B, octal 167013).

What is the square root of 60939?

About 246.8583, exactly 3√6771.

Is 60939 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 60939?

60939 is a Harshad number: divisible by its digit sum 27.

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    60939: is it prime? Factors, square root, binary, Roman numeral | WordGPT