The number 61100

Q: Is 61100 a prime number?

No. 61100 = 2^2 × 5^2 × 13 × 47, so it is divisible by 2.

61100 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $5^{2}$ × 13 × 47. Divisors (36): 1, 2, 4, 5, 10, 13, 20, 25, 26, 47, 50, 52, 65, 94, 100, 130 … 61100.

Number

Pick any whole number from 1 to 100,000.

61100 = 2^{2} \times 5^{2} \times 13 \times 47

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How to work it out

1
61100 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
61100 is composite. Its prime factorisation is
$61100 = 2^{2} \times 5^{2} \times 13 \times 47$
3
The divisors add up to 145824; without 61100 itself that is 84724, so 61100 is abundant (84724 is more than 61100). Euler's totient φ(61100) = 22080 numbers up to 61100 share no factor with it.
4
The digits of 61100 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page

\[ 61100 = 2^{2} \times 5^{2} \times 13 \times 47 \]

61100 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	145824
Euler totient φ(n)	22080
Square	3733210000
Cube	228099131000000
Square root	247.184142 (= 10√611)
Digit sum / digital root	8 / 8
Collatz steps to 1	86
Scientific notation	6.11 × $10^{4}$

61100 in other forms

Form	Value
In words	sixty-one thousand one hundred
Binary (base 2)	1110111010101100
Octal (base 8)	167254
Hexadecimal (base 16)	EEAC
Base 3	10002210222
As time	61100 seconds = 16 h 58 min 20 s

Is 61100 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (61100 ÷ 2 = 30550)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	No (remainder 2)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (61100 ÷ 4 = 15275)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (61100 ÷ 5 = 12220)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 2)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 4)	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 8)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (61100 ÷ 10 = 6110)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 6)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 8)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61100 a prime number?

No. 61100 = $2^{2}$ × $5^{2}$ × 13 × 47, so it is divisible by 2.

What are the factors of 61100?

1, 2, 4, 5, 10, 13, 20, 25, 26, 47, 50, 52, 65, 94, 100, 130, 188, 235, 260, 325, 470, 611, 650, 940, 1175, 1222, 1300, 2350, 2444, 3055, 4700, 6110, 12220, 15275, 30550, 61100.

What is 61100 in binary?

1110111010101100 (hexadecimal EEAC, octal 167254).

What is the square root of 61100?

About 247.1841, exactly 10√611.

Is 61100 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 61100?

It is a composite number with 36 divisors.