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The number 60808

60808 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 11 × 691. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 691, 1382, 2764, 5528, 7601, 15202, 30404, 60808.

Number

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How to work it out

  1. 1

    What is special about 60808: a Harshad number: divisible by its digit sum 22.

  2. 2

    60808 is composite. Its prime factorisation is

    60808=23×11×69160808 = 2^{3} \times 11 \times 691
  3. 3

    The divisors add up to 124560; without 60808 itself that is 63752, so 60808 is abundant (63752 is more than 60808). Euler's totient φ(60808) = 27600 numbers up to 60808 share no factor with it.

  4. 4

    The digits of 60808 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60808 = 2^{3} \times 11 \times 691 \]

60808 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors124560
Euler totient φ(n)27600
Square3697612864
Cube224844443034112
Square root246.592782 (= 2√15202)
Digit sum / digital root22 / 4
Collatz steps to 134
Scientific notation6.0808 × 10410^{4}

60808 in other forms

FormValue
In wordssixty thousand eight hundred and eight
Binary (base 2)1110110110001000
Octal (base 8)166610
Hexadecimal (base 16)ED88
Base 310002102011
As time60808 seconds = 16 h 53 min 28 s

Is 60808 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60808 ÷ 2 = 30404)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (60808 ÷ 4 = 15202)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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.
8Yes (60808 ÷ 8 = 7601)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11Yes (60808 ÷ 11 = 5528)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60808 a prime number?

No. 60808 = 232^{3} × 11 × 691, so it is divisible by 2.

What are the factors of 60808?

1, 2, 4, 8, 11, 22, 44, 88, 691, 1382, 2764, 5528, 7601, 15202, 30404, 60808.

What is 60808 in binary?

1110110110001000 (hexadecimal ED88, octal 166610).

What is the square root of 60808?

About 246.5928, exactly 2√15202.

Is 60808 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 60808?

60808 is a Harshad number: divisible by its digit sum 22.

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