The number 17160

Q: Is 17160 a prime number?

No. 17160 = 2^3 × 3 × 5 × 11 × 13, so it is divisible by 2.

17160 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 11 × 13. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 20, 22, 24, 26 … 17160.

Number

Pick any whole number from 1 to 100,000.

17160 = 2^{3} \times 3 \times 5 \times 11 \times 13

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How to work it out

1
What is special about 17160: a Harshad number: divisible by its digit sum 15.
2
17160 is composite. Its prime factorisation is
$17160 = 2^{3} \times 3 \times 5 \times 11 \times 13$
3
The divisors add up to 60480; without 17160 itself that is 43320, so 17160 is abundant (43320 is more than 17160). Euler's totient φ(17160) = 3840 numbers up to 17160 share no factor with it.
4
The digits of 17160 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.

LaTeX source of the formulas on this page

\[ 17160 = 2^{3} \times 3 \times 5 \times 11 \times 13 \]

17160 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	60480
Euler totient φ(n)	3840
Square	294465600
Cube	5053029696000
Square root	130.996183 (= 2√4290)
Digit sum / digital root	15 / 6
Collatz steps to 1	79
Scientific notation	1.716 × $10^{4}$

17160 in other forms

Form	Value
In words	seventeen thousand one hundred and sixty
Binary (base 2)	100001100001000
Octal (base 8)	41410
Hexadecimal (base 16)	4308
Base 3	212112120
As time	17160 seconds = 4 h 46 min 0 s

Is 17160 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (17160 ÷ 2 = 8580)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (17160 ÷ 3 = 5720)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (17160 ÷ 4 = 4290)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (17160 ÷ 5 = 3432)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (17160 ÷ 6 = 2860)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	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 (17160 ÷ 8 = 2145)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (17160 ÷ 10 = 1716)	A number is divisible by 10 if the last digit is 0.
11	Yes (17160 ÷ 11 = 1560)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (17160 ÷ 12 = 1430)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 17160 a prime number?

No. 17160 = $2^{3}$ × 3 × 5 × 11 × 13, so it is divisible by 2.

What are the factors of 17160?

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 20, 22, 24, 26, 30, 33, 39, 40, 44, 52, 55, 60, 65, 66, 78, 88, 104, 110, 120, 130, 132, 143, 156, 165, 195, 220, 260, 264, 286, 312, 330, 390, 429, 440, 520, 572, 660, 715, 780, 858, 1144, 1320, 1430, 1560, 1716, 2145, 2860, 3432, 4290, 5720, 8580, 17160.

What is 17160 in binary?

100001100001000 (hexadecimal 4308, octal 41410).

What is the square root of 17160?

About 130.9962, exactly 2√4290.

Is 17160 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 17160?

17160 is a Harshad number: divisible by its digit sum 15.