The number 59850

Q: Is 59850 a prime number?

No. 59850 = 2 × 3^2 × 5^2 × 7 × 19, so it is divisible by 2.

59850 is a composite number with 72 divisors. Its prime factorisation is 2 × $3^{2}$ × $5^{2}$ × 7 × 19. Divisors (72): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 25, 30, 35 … 59850.

Number

Pick any whole number from 1 to 100,000.

59850 = 2 \times 3^{2} \times 5^{2} \times 7 \times 19

Explain it step by step in chat Make a short video of it

How to work it out

1
59850 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
59850 is composite. Its prime factorisation is
$59850 = 2 \times 3^{2} \times 5^{2} \times 7 \times 19$
3
The divisors add up to 193440; without 59850 itself that is 133590, so 59850 is abundant (133590 is more than 59850). Euler's totient φ(59850) = 12960 numbers up to 59850 share no factor with it.
4
The digits of 59850 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 166 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59850 = 2 \times 3^{2} \times 5^{2} \times 7 \times 19 \]

59850 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	193440
Euler totient φ(n)	12960
Square	3582022500
Cube	214384046625000
Square root	244.642596 (= 15√266)
Digit sum / digital root	27 / 9
Collatz steps to 1	166
Scientific notation	5.985 × $10^{4}$

59850 in other forms

Form	Value
In words	fifty-nine thousand eight hundred and fifty
Binary (base 2)	1110100111001010
Octal (base 8)	164712
Hexadecimal (base 16)	E9CA
Base 3	10001002200
As time	59850 seconds = 16 h 37 min 30 s

Is 59850 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59850 ÷ 2 = 29925)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59850 ÷ 3 = 19950)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 2)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (59850 ÷ 5 = 11970)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59850 ÷ 6 = 9975)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (59850 ÷ 7 = 8550)	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 2)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (59850 ÷ 9 = 6650)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (59850 ÷ 10 = 5985)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 6)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59850 a prime number?

No. 59850 = 2 × $3^{2}$ × $5^{2}$ × 7 × 19, so it is divisible by 2.

What are the factors of 59850?

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 25, 30, 35, 38, 42, 45, 50, 57, 63, 70, 75, 90, 95, 105, 114, 126, 133, 150, 171, 175, 190, 210, 225, 266, 285, 315, 342, 350, 399, 450, 475, 525, 570, 630, 665, 798, 855, 950, 1050, 1197, 1330, 1425, 1575, 1710, 1995, 2394, 2850, 3150, 3325, 3990, 4275, 5985, 6650, 8550, 9975, 11970, 19950, 29925, 59850.

What is 59850 in binary?

1110100111001010 (hexadecimal E9CA, octal 164712).

What is the square root of 59850?

About 244.6426, exactly 15√266.

Is 59850 divisible by 3?

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

What is special about the number 59850?

It is a composite number with 72 divisors.