The number 79772

Q: Is 79772 a prime number?

No. 79772 = 2^2 × 7^2 × 11 × 37, so it is divisible by 2.

79772 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × $7^{2}$ × 11 × 37. Divisors (36): 1, 2, 4, 7, 11, 14, 22, 28, 37, 44, 49, 74, 77, 98, 148, 154 … 79772.

Number

Pick any whole number from 1 to 100,000.

79772 = 2^{2} \times 7^{2} \times 11 \times 37

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How to work it out

1
79772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
79772 is composite. Its prime factorisation is
$79772 = 2^{2} \times 7^{2} \times 11 \times 37$
3
The divisors add up to 181944; without 79772 itself that is 102172, so 79772 is abundant (102172 is more than 79772). Euler's totient φ(79772) = 30240 numbers up to 79772 share no factor with it.
4
The digits of 79772 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page

\[ 79772 = 2^{2} \times 7^{2} \times 11 \times 37 \]

79772 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	181944
Euler totient φ(n)	30240
Square	6363571984
Cube	507634864307648
Square root	282.439374 (= 14√407)
Digit sum / digital root	32 / 5
Collatz steps to 1	76
Scientific notation	7.9772 × $10^{4}$

79772 in other forms

Form	Value
In words	seventy-nine thousand seven hundred and seventy-two
Binary (base 2)	10011011110011100
Octal (base 8)	233634
Hexadecimal (base 16)	1379C
Base 3	11001102112
As time	79772 seconds = 22 h 9 min 32 s

Is 79772 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (79772 ÷ 2 = 39886)	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 (79772 ÷ 4 = 19943)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	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	Yes (79772 ÷ 7 = 11396)	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 5)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	Yes (79772 ÷ 11 = 7252)	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 79772 a prime number?

No. 79772 = $2^{2}$ × $7^{2}$ × 11 × 37, so it is divisible by 2.

What are the factors of 79772?

1, 2, 4, 7, 11, 14, 22, 28, 37, 44, 49, 74, 77, 98, 148, 154, 196, 259, 308, 407, 518, 539, 814, 1036, 1078, 1628, 1813, 2156, 2849, 3626, 5698, 7252, 11396, 19943, 39886, 79772.

What is 79772 in binary?

10011011110011100 (hexadecimal 1379C, octal 233634).

What is the square root of 79772?

About 282.4394, exactly 14√407.

Is 79772 divisible by 3?

No. Its digits add up to 32, which is not a multiple of 3.

What is special about the number 79772?

It is a composite number with 36 divisors.