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The number 60996

60996 is a composite number with 48 divisors. Its prime factorisation is 222^{2} × 3 × 13 × 17 × 23. Divisors (48): 1, 2, 3, 4, 6, 12, 13, 17, 23, 26, 34, 39, 46, 51, 52, 68 … 60996.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    60996 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

    60996 is composite. Its prime factorisation is

    60996=22×3×13×17×2360996 = 2^{2} \times 3 \times 13 \times 17 \times 23
  3. 3

    The divisors add up to 169344; without 60996 itself that is 108348, so 60996 is abundant (108348 is more than 60996). Euler's totient φ(60996) = 16896 numbers up to 60996 share no factor with it.

  4. 4

    The digits of 60996 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 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60996 = 2^{2} \times 3 \times 13 \times 17 \times 23 \]

60996 at a glance

PropertyValue
Typecomposite
Number of divisors48
Sum of divisors169344
Euler totient φ(n)16896
Square3720512016
Cube226936350927936
Square root246.973683 (= 2√15249)
Digit sum / digital root30 / 3
Collatz steps to 186
Scientific notation6.0996 × 10410^{4}

60996 in other forms

FormValue
In wordssixty thousand nine hundred and ninety-six
Binary (base 2)1110111001000100
Octal (base 8)167104
Hexadecimal (base 16)EE44
Base 310002200010
As time60996 seconds = 16 h 56 min 36 s

Is 60996 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60996 ÷ 2 = 30498)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (60996 ÷ 3 = 20332)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (60996 ÷ 4 = 15249)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.
6Yes (60996 ÷ 6 = 10166)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 3)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12Yes (60996 ÷ 12 = 5083)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60996 a prime number?

No. 60996 = 222^{2} × 3 × 13 × 17 × 23, so it is divisible by 2.

What are the factors of 60996?

1, 2, 3, 4, 6, 12, 13, 17, 23, 26, 34, 39, 46, 51, 52, 68, 69, 78, 92, 102, 138, 156, 204, 221, 276, 299, 391, 442, 598, 663, 782, 884, 897, 1173, 1196, 1326, 1564, 1794, 2346, 2652, 3588, 4692, 5083, 10166, 15249, 20332, 30498, 60996.

What is 60996 in binary?

1110111001000100 (hexadecimal EE44, octal 167104).

What is the square root of 60996?

About 246.9737, exactly 2√15249.

Is 60996 divisible by 3?

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

What is special about the number 60996?

It is a composite number with 48 divisors.

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