The number 57960

Q: Is 57960 a prime number?

No. 57960 = 2^3 × 3^2 × 5 × 7 × 23, so it is divisible by 2.

57960 is a composite number with 96 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × 5 × 7 × 23. Divisors (96): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21 … 57960.

Number

Pick any whole number from 1 to 100,000.

57960 = 2^{3} \times 3^{2} \times 5 \times 7 \times 23

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How to work it out

1
57960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
57960 is composite. Its prime factorisation is
$57960 = 2^{3} \times 3^{2} \times 5 \times 7 \times 23$
3
The divisors add up to 224640; without 57960 itself that is 166680, so 57960 is abundant (166680 is more than 57960). Euler's totient φ(57960) = 12672 numbers up to 57960 share no factor with it.
4
The digits of 57960 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

\[ 57960 = 2^{3} \times 3^{2} \times 5 \times 7 \times 23 \]

57960 at a glance

Property	Value
Type	composite
Number of divisors	96
Sum of divisors	224640
Euler totient φ(n)	12672
Square	3359361600
Cube	194708598336000
Square root	240.748832 (= 6√1610)
Digit sum / digital root	27 / 9
Collatz steps to 1	73
Scientific notation	5.796 × $10^{4}$

57960 in other forms

Form	Value
In words	fifty-seven thousand nine hundred and sixty
Binary (base 2)	1110001001101000
Octal (base 8)	161150
Hexadecimal (base 16)	E268
Base 3	2221111200
As time	57960 seconds = 16 h 6 min 0 s

Is 57960 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (57960 ÷ 2 = 28980)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (57960 ÷ 3 = 19320)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (57960 ÷ 4 = 14490)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (57960 ÷ 5 = 11592)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (57960 ÷ 6 = 9660)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (57960 ÷ 7 = 8280)	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 (57960 ÷ 8 = 7245)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (57960 ÷ 9 = 6440)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (57960 ÷ 10 = 5796)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (57960 ÷ 12 = 4830)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 57960 a prime number?

No. 57960 = $2^{3}$ × $3^{2}$ × 5 × 7 × 23, so it is divisible by 2.

What are the factors of 57960?

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 23, 24, 28, 30, 35, 36, 40, 42, 45, 46, 56, 60, 63, 69, 70, 72, 84, 90, 92, 105, 115, 120, 126, 138, 140, 161, 168, 180, 184, 207, 210, 230, 252, 276, 280, 315, 322, 345, 360, 414, 420, 460, 483, 504, 552, 630, 644, 690, 805, 828, 840, 920, 966, 1035, 1260, 1288, 1380, 1449, 1610, 1656, 1932, 2070, 2415, 2520, 2760, 2898, 3220, 3864, 4140, 4830, 5796, 6440, 7245, 8280, 9660, 11592, 14490, 19320, 28980, 57960.

What is 57960 in binary?

1110001001101000 (hexadecimal E268, octal 161150).

What is the square root of 57960?

About 240.7488, exactly 6√1610.

Is 57960 divisible by 3?

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

What is special about the number 57960?

It is a composite number with 96 divisors.