Math Question: What is the sum of the first 22 multiples of 972?

To find the sum of 22 multiples of 972, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where Sn is the sum, a is the first term, n is the number of terms, and d is the common difference. In this case, a = 972, n = 22, and d = 972. Substituting these values: Sn = (22/2)(2(972) + (22-1)(972)), which simplifies to Sn = 11(1944 + 21)(972). Now, we can calculate Sn as Sn = 11(1965)(972) = 21,461,680. Therefore, the sum of the first 22 multiples of 972 is 21,461,680.

Math question: What is the largest prime factor of 972?

To find the largest prime factor of 972, we observe that 972 can be written as 2^2 * 3^5. The prime factors are 2 and 3. Among these, 3 is the largest prime factor. Thus, the largest prime factor of 972 is 3.

Math question: What is the sum of the digits in the number 972?

To find the sum of the digits in the number 972, we add each individual digit: 9 + 7 + 2 = 18. Therefore, the sum of the digits in 972 is 18.

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

972 (number)

972 is an even 3-digits composite number following 971 and preceding 973. In scientific notation, it is written as 9.72 × 10^2. The sum of its digits is 18. It has a total of 5 prime factors and 18 positive divisors. There are 324 positive integers (up to 972) that are relatively prime to 972.

Interesting facts

972 has 18 divisors, whose sum is 2548
The reverse of 972 is 279
Previous prime number is 27

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 18
Digital Root 9

Name

Name	nine hundred seventy-two

Notation

Scientific notation	9.72 × 10^2
Engineering notation	9.72 × 10^0

Prime Factorization of 972

Prime Factorization 2 × 2 × 3 × 27 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	162	Product of the distinct prime numbers

The prime factorization of 972 is 2 × 2 × 3 × 27 × 3. Since it has a total of 5 prime factors.

Most popular turbo-numbers

5, 6, 46, 65, 968, 700, 2812, 9492, 91696, 62218, 769898, 95497, 110148, 7107507, 95277418, 83459201, 513597231, 672778658, 7216343004, 3741851187

Basic calculations (n = 972)

Multiplication

n×y

n×2	1944
n×3	2916
n×4	3888
n×5	4860

Division

n÷y

n÷2	486
n÷3	324
n÷3	243
n÷5	194.4

Exponentiation

n^y

n²	944784
n³	918330048
n⁴	892616806656
n⁵	867623536069632

Nth Root

^y√n

²√n	31.17691453624
³√n	9.9057817466839
⁴√n	5.5836291546126
⁵√n	3.9585237323187

Divisors of 972

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

18 divisors

τ	Total Divisors	18	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-971	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.055555555555556	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	18	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 972 can be divided by 18 positive divisors. The sum of these divisors (counting 972) is 1, the average is 0.055555555555556.

Base conversion 972

Base	System	Value
2	Binary	1111001100
3	Ternary	1100000
4	Quaternary	33030
5	Quinary	12342
6	Senary	4300
8	Octal	1714
10	Decimal	972
12	Duodecimal	690
16	Hexadecimal	3cc
20	Vigesimal	28c
36	Base36	r0

Cryptographic Hash Functions

md5	c22abfa379f38b5b0411bc11fa9bf92f
sha1	5a14ec71168ce0b15c0e9cece3865e308e28e32b
sha256	3658d7fa3c43456f3c9c87db0490e872039516e6375336254560167cc3db2ea2
sha512	8cf2bc30bf48b1bc3befdb298a389c99bc806e801a12909413583efbd4348d6227421f43e9a2ea8508ea05b4e0fc23dae4e2e26a54887f7080876d4cfa42df95
ripemd-160	f4501ac950622b7de4dd37132075545403220d2c

972 as geometric shapes

Circle

Radius = n

Diameter	1944
Circumference	6107.2561185786
Area	2968126.4736292

Sphere

Radius = n

Volume	3846691909.8234
Surface area	11872505.894517
Circumference	6107.2561185786

Square

Length = n

Perimeter	3888
Area	944784
Diagonal	1374.6155826266

Cube

Length = n

Surface area	5668704
Volume	918330048
Space diagonal	1683.5533849569

Equilateral Triangle

Length = n

Perimeter	2916
Area	409103.47254454
Altitude	841.77669247847

Triangular Pyramid

Length = n

Surface area	409103.47254454
Volume	108226234.05136
Height	458.20519420888