The number 75020

Q: Is 75020 a prime number?

No. 75020 = 2^2 × 5 × 11^2 × 31, so it is divisible by 2.

75020 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 5 × $11^{2}$ × 31. Divisors (36): 1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 121, 124, 155 … 75020.

Number

Pick any whole number from 1 to 100,000.

75020 = 2^{2} \times 5 \times 11^{2} \times 31

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How to work it out

1
75020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
75020 is composite. Its prime factorisation is
$75020 = 2^{2} \times 5 \times 11^{2} \times 31$
3
The divisors add up to 178752; without 75020 itself that is 103732, so 75020 is abundant (103732 is more than 75020). Euler's totient φ(75020) = 26400 numbers up to 75020 share no factor with it.
4
The digits of 75020 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.

LaTeX source of the formulas on this page

\[ 75020 = 2^{2} \times 5 \times 11^{2} \times 31 \]

75020 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	178752
Euler totient φ(n)	26400
Square	5628000400
Cube	422212590008000
Square root	273.897791 (= 22√155)
Digit sum / digital root	14 / 5
Collatz steps to 1	112
Scientific notation	7.502 × $10^{4}$

75020 in other forms

Form	Value
In words	seventy-five thousand and twenty
Binary (base 2)	10010010100001100
Octal (base 8)	222414
Hexadecimal (base 16)	1250C
Base 3	10210220112
As time	75020 seconds = 20 h 50 min 20 s

Is 75020 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (75020 ÷ 2 = 37510)	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 (75020 ÷ 4 = 18755)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (75020 ÷ 5 = 15004)	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 1)	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 5)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (75020 ÷ 10 = 7502)	A number is divisible by 10 if the last digit is 0.
11	Yes (75020 ÷ 11 = 6820)	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 75020 a prime number?

No. 75020 = $2^{2}$ × 5 × $11^{2}$ × 31, so it is divisible by 2.

What are the factors of 75020?

1, 2, 4, 5, 10, 11, 20, 22, 31, 44, 55, 62, 110, 121, 124, 155, 220, 242, 310, 341, 484, 605, 620, 682, 1210, 1364, 1705, 2420, 3410, 3751, 6820, 7502, 15004, 18755, 37510, 75020.

What is 75020 in binary?

10010010100001100 (hexadecimal 1250C, octal 222414).

What is the square root of 75020?

About 273.8978, exactly 22√155.

Is 75020 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 75020?

It is a composite number with 36 divisors.