Math question: What is the largest perfect square less than 961?

To solve this, we can find the square root of 961, which is 31. As the question asks for the largest perfect square less than 961, we need to find the perfect square closest to 31. By squaring numbers less than 31, we find that 30^2 = 900 and 31^2 = 961. Hence, the largest perfect square less than 961 is 900, and it is obtained by squaring the number 30.

Math Question: If 961 is multiplied by an integer x and then the square root of the result is taken, what is the value of x if the result is always an integer? Math

To find the integer value of x, we can observe that 961 = 31^2, which means any number multiplied by 961 and then square rooted will yield its own square root multiplied by x. Since the square root of 961 is 31, x must be 1 to ensure the result is always an integer. Thus, x = 1 satisfies the condition, and any other value of x would lead to a non-integer result when taking the square root of the product.

Math Question: Find the square root of the number obtained when the digits of 961 are reversed.

To obtain the digits of 961 in reverse, we get 169. Now, let's find the square root of 169. The square root of 169 is 13. Hence, the answer is 13. The square root of the number formed by reversing the digits of 961 is 13.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

961 (number)

961 is an odd 3-digits composite number following 960 and preceding 962. In scientific notation, it is written as 9.61 × 10^2. The sum of its digits is 16. It has a total of 2 prime factors and 3 positive divisors. There are 930 positive integers (up to 961) that are relatively prime to 961.

Interesting facts

961 has 3 divisors, whose sum is 993
The reverse of 961 is 169
Previous prime number is 31

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 16
Digital Root 7

Name

Name	nine hundred sixty-one

Notation

Scientific notation	9.61 × 10^2
Engineering notation	9.61 × 10^0

Prime Factorization of 961

Prime Factorization 31 × 31

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	31	Product of the distinct prime numbers

The prime factorization of 961 is 31 × 31. Since it has a total of 2 prime factors.

Most popular turbo-numbers

8, 8, 17, 38, 826, 269, 979, 5263, 50963, 33936, 926357, 967169, 1981008, 1210367, 52003056, 96650326, 610654, 505230963, 2516155947, 8101953344

Basic calculations (n = 961)

Multiplication

n×y

n×2	1922
n×3	2883
n×4	3844
n×5	4805

Division

n÷y

n÷2	480.5
n÷3	320.33333333333
n÷3	240.25
n÷5	192.2

Exponentiation

n^y

n²	923521
n³	887503681
n⁴	852891037441
n⁵	819628286980801

Nth Root

^y√n

²√n	31
³√n	9.868272403219
⁴√n	5.56776436283
⁵√n	3.9495232751503

Divisors of 961

1, 31, 961

3 divisors

τ	Total Divisors	3	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-960	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.33333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	3	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 961 can be divided by 3 positive divisors. The sum of these divisors (counting 961) is 1, the average is 0.33333333333333.

Base conversion 961

Base	System	Value
2	Binary	1111000001
3	Ternary	1022121
4	Quaternary	33001
5	Quinary	12321
6	Senary	4241
8	Octal	1701
10	Decimal	961
12	Duodecimal	681
16	Hexadecimal	3c1
20	Vigesimal	281
36	Base36	qp

Cryptographic Hash Functions

md5	d707329bece455a462b58ce00d1194c9
sha1	1f37ad2bad2f9295271415eea34a6cb99a79575b
sha256	eef79a6a04f78a54832c8891ed83f4863850ec0a7d9807e9b6ac208d23a1e59c
sha512	2c6a8ce54302f54fd0b5f4c8b3fb83a1e41744ad9966593c7831356b9e726f234e2273ced1b1bd052b67b2c2e709ee8b77e016e2d933523966a23b172d934584
ripemd-160	59062efcf70e36e819188d297ba47d35b26f6adc

961 as geometric shapes

Circle

Radius = n

Diameter	1922
Circumference	6038.1410801996
Area	2901326.7890359

Sphere

Radius = n

Volume	3717566725.6847
Surface area	11605307.156144
Circumference	6038.1410801996

Square

Length = n

Perimeter	3844
Area	923521
Diagonal	1359.0592334405

Cube

Length = n

Surface area	5541126
Volume	887503681
Space diagonal	1664.5008260737

Equilateral Triangle

Length = n

Perimeter	2883
Area	399896.3234642
Altitude	832.25041303685

Triangular Pyramid

Length = n

Surface area	399896.3234642
Volume	104593311.86052
Height	453.01974448018