The number 60500

Q: Is 60500 a prime number?

No. 60500 = 2^2 × 5^3 × 11^2, so it is divisible by 2.

60500 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{3}$ × $11^{2}$ . Divisors (36): 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 125 … 60500.

Number

Pick any whole number from 1 to 100,000.

60500 = 2^{2} \times 5^{3} \times 11^{2}

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How to work it out

1
What is special about 60500: a Harshad number: divisible by its digit sum 11.
2
60500 is composite. Its prime factorisation is
$60500 = 2^{2} \times 5^{3} \times 11^{2}$
3
The divisors add up to 145236; without 60500 itself that is 84736, so 60500 is abundant (84736 is more than 60500). Euler's totient φ(60500) = 22000 numbers up to 60500 share no factor with it.
4
The digits of 60500 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.

LaTeX source of the formulas on this page

\[ 60500 = 2^{2} \times 5^{3} \times 11^{2} \]

60500 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	145236
Euler totient φ(n)	22000
Square	3660250000
Cube	221445125000000
Square root	245.967478 (= 110√5)
Digit sum / digital root	11 / 2
Collatz steps to 1	42
Scientific notation	6.05 × $10^{4}$

60500 in other forms

Form	Value
In words	sixty thousand five hundred
Binary (base 2)	1110110001010100
Octal (base 8)	166124
Hexadecimal (base 16)	EC54
Base 3	10001222202
As time	60500 seconds = 16 h 48 min 20 s

Is 60500 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (60500 ÷ 2 = 30250)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (60500 ÷ 4 = 15125)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (60500 ÷ 5 = 12100)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (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.
8	No (remainder 4)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 2)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (60500 ÷ 10 = 6050)	A number is divisible by 10 if the last digit is 0.
11	Yes (60500 ÷ 11 = 5500)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60500 a prime number?

No. 60500 = $2^{2}$ × $5^{3}$ × $11^{2}$ , so it is divisible by 2.

What are the factors of 60500?

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 125, 220, 242, 250, 275, 484, 500, 550, 605, 1100, 1210, 1375, 2420, 2750, 3025, 5500, 6050, 12100, 15125, 30250, 60500.

What is 60500 in binary?

1110110001010100 (hexadecimal EC54, octal 166124).

What is the square root of 60500?

About 245.9675, exactly 110√5.

Is 60500 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 60500?

60500 is a Harshad number: divisible by its digit sum 11.