The number 55860

Q: Is 55860 a prime number?

No. 55860 = 2^2 × 3 × 5 × 7^2 × 19, so it is divisible by 2.

55860 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × $7^{2}$ × 19. Divisors (72): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30 … 55860.

Number

Pick any whole number from 1 to 100,000.

55860 = 2^{2} \times 3 \times 5 \times 7^{2} \times 19

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How to work it out

1
55860 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
55860 is composite. Its prime factorisation is
$55860 = 2^{2} \times 3 \times 5 \times 7^{2} \times 19$
3
The divisors add up to 191520; without 55860 itself that is 135660, so 55860 is abundant (135660 is more than 55860). Euler's totient φ(55860) = 12096 numbers up to 55860 share no factor with it.
4
The digits of 55860 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.

LaTeX source of the formulas on this page

\[ 55860 = 2^{2} \times 3 \times 5 \times 7^{2} \times 19 \]

55860 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	191520
Euler totient φ(n)	12096
Square	3120339600
Cube	174302170056000
Square root	236.347202 (= 14√285)
Digit sum / digital root	24 / 6
Collatz steps to 1	153
Scientific notation	5.586 × $10^{4}$

55860 in other forms

Form	Value
In words	fifty-five thousand eight hundred and sixty
Binary (base 2)	1101101000110100
Octal (base 8)	155064
Hexadecimal (base 16)	DA34
Base 3	2211121220
As time	55860 seconds = 15 h 31 min 0 s

Is 55860 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (55860 ÷ 2 = 27930)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (55860 ÷ 3 = 18620)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (55860 ÷ 4 = 13965)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (55860 ÷ 5 = 11172)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (55860 ÷ 6 = 9310)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (55860 ÷ 7 = 7980)	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 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (55860 ÷ 10 = 5586)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (55860 ÷ 12 = 4655)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55860 a prime number?

No. 55860 = $2^{2}$ × 3 × 5 × $7^{2}$ × 19, so it is divisible by 2.

What are the factors of 55860?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 49, 57, 60, 70, 76, 84, 95, 98, 105, 114, 133, 140, 147, 190, 196, 210, 228, 245, 266, 285, 294, 380, 399, 420, 490, 532, 570, 588, 665, 735, 798, 931, 980, 1140, 1330, 1470, 1596, 1862, 1995, 2660, 2793, 2940, 3724, 3990, 4655, 5586, 7980, 9310, 11172, 13965, 18620, 27930, 55860.

What is 55860 in binary?

1101101000110100 (hexadecimal DA34, octal 155064).

What is the square root of 55860?

About 236.3472, exactly 14√285.

Is 55860 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 55860?

It is a composite number with 72 divisors.