The number 41160

Q: Is 41160 a prime number?

No. 41160 = 2^3 × 3 × 5 × 7^3, so it is divisible by 2.

41160 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × $7^{3}$ . Divisors (64): 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28 … 41160.

Number

Pick any whole number from 1 to 100,000.

41160 = 2^{3} \times 3 \times 5 \times 7^{3}

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How to work it out

1
What is special about 41160: a Harshad number: divisible by its digit sum 12.
2
41160 is composite. Its prime factorisation is
$41160 = 2^{3} \times 3 \times 5 \times 7^{3}$
3
The divisors add up to 144000; without 41160 itself that is 102840, so 41160 is abundant (102840 is more than 41160). Euler's totient φ(41160) = 9408 numbers up to 41160 share no factor with it.
4
The digits of 41160 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.

LaTeX source of the formulas on this page

\[ 41160 = 2^{3} \times 3 \times 5 \times 7^{3} \]

41160 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	144000
Euler totient φ(n)	9408
Square	1694145600
Cube	69731032896000
Square root	202.879274 (= 14√210)
Digit sum / digital root	12 / 3
Collatz steps to 1	62
Scientific notation	4.116 × $10^{4}$

41160 in other forms

Form	Value
In words	forty-one thousand one hundred and sixty
Binary (base 2)	1010000011001000
Octal (base 8)	120310
Hexadecimal (base 16)	A0C8
Base 3	2002110110
As time	41160 seconds = 11 h 26 min 0 s

Is 41160 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (41160 ÷ 2 = 20580)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (41160 ÷ 3 = 13720)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (41160 ÷ 4 = 10290)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (41160 ÷ 5 = 8232)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (41160 ÷ 6 = 6860)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (41160 ÷ 7 = 5880)	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 (41160 ÷ 8 = 5145)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (41160 ÷ 10 = 4116)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 9)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (41160 ÷ 12 = 3430)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41160 a prime number?

No. 41160 = $2^{3}$ × 3 × 5 × $7^{3}$ , so it is divisible by 2.

What are the factors of 41160?

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 343, 392, 420, 490, 588, 686, 735, 840, 980, 1029, 1176, 1372, 1470, 1715, 1960, 2058, 2744, 2940, 3430, 4116, 5145, 5880, 6860, 8232, 10290, 13720, 20580, 41160.

What is 41160 in binary?

1010000011001000 (hexadecimal A0C8, octal 120310).

What is the square root of 41160?

About 202.8793, exactly 14√210.

Is 41160 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 41160?

41160 is a Harshad number: divisible by its digit sum 12.