The number 60984

Q: Is 60984 a prime number?

No. 60984 = 2^3 × 3^2 × 7 × 11^2, so it is divisible by 2.

60984 is a composite number with 72 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 7 × $11^{2}$ . Divisors (72): 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28 … 60984.

Number

Pick any whole number from 1 to 100,000.

60984 = 2^{3} \times 3^{2} \times 7 \times 11^{2}

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How to work it out

1
60984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
60984 is composite. Its prime factorisation is
$60984 = 2^{3} \times 3^{2} \times 7 \times 11^{2}$
3
The divisors add up to 207480; without 60984 itself that is 146496, so 60984 is abundant (146496 is more than 60984). Euler's totient φ(60984) = 15840 numbers up to 60984 share no factor with it.
4
The digits of 60984 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 73 steps to reach 1.

LaTeX source of the formulas on this page

\[ 60984 = 2^{3} \times 3^{2} \times 7 \times 11^{2} \]

60984 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	207480
Euler totient φ(n)	15840
Square	3719048256
Cube	226802438843904
Square root	246.949388 (= 66√14)
Digit sum / digital root	27 / 9
Collatz steps to 1	73
Scientific notation	6.0984 × $10^{4}$

60984 in other forms

Form	Value
In words	sixty thousand nine hundred and eighty-four
Binary (base 2)	1110111000111000
Octal (base 8)	167070
Hexadecimal (base 16)	EE38
Base 3	10002122200
As time	60984 seconds = 16 h 56 min 24 s

Is 60984 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (60984 ÷ 2 = 30492)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (60984 ÷ 3 = 20328)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (60984 ÷ 4 = 15246)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (60984 ÷ 6 = 10164)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (60984 ÷ 7 = 8712)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (60984 ÷ 8 = 7623)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (60984 ÷ 9 = 6776)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	Yes (60984 ÷ 11 = 5544)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (60984 ÷ 12 = 5082)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60984 a prime number?

No. 60984 = $2^{3}$ × $3^{2}$ × 7 × $11^{2}$ , so it is divisible by 2.

What are the factors of 60984?

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 121, 126, 132, 154, 168, 198, 231, 242, 252, 264, 308, 363, 396, 462, 484, 504, 616, 693, 726, 792, 847, 924, 968, 1089, 1386, 1452, 1694, 1848, 2178, 2541, 2772, 2904, 3388, 4356, 5082, 5544, 6776, 7623, 8712, 10164, 15246, 20328, 30492, 60984.

What is 60984 in binary?

1110111000111000 (hexadecimal EE38, octal 167070).

What is the square root of 60984?

About 246.9494, exactly 66√14.

Is 60984 divisible by 3?

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

What is special about the number 60984?

It is a composite number with 72 divisors.