Math question: Find the greatest common divisor of 984 and the difference between the sum of its digits and the product of its digits.

To find the greatest common divisor, we start by calculating the sum of the digits of 984, which is 9 + 8 + 4 = 21. Next, let's find the product of the digits: 9 × 8 × 4 = 288. The difference between the sum and product is |21 - 288| = 267. Now, let's calculate the greatest common divisor of 984 and 267. The prime factorization of 984 is 2^3 × 3 × 41, and the prime factorization of 267 is 3 × 89. The shared prime factor between 984 and 267 is 3, thus the greatest common divisor (GCD) is 3.

Math question: What is the remainder when 984 is divided by the sum of its digits?

To find the sum of the digits, we add 9 + 8 + 4 = 21. Now, let's divide 984 by 21. The quotient is 46, and the remainder is 18. So, the remainder when 984 is divided by the sum of its digits is 18.

Math Question: How many times does the digit 9 appear in the numbers from 1 to 984 (inclusive)?

To find the number of times digit 9 appears, consider each place value independently: in the units place, 9 appears once every 10 numbers (from 9 to 99), so it occurs 9 times; in the tens place, 9 appears in 10 numbers (90 to 99), so it occurs 10 times; in the hundreds place, 9 appears in 100 numbers (900 to 999), so it occurs 100 times. Adding up these occurrences, we get 9 + 10 + 100 = 119 times. Thus, digit 9 appears 119 times in the numbers from 1 to 984 (inclusive).

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

984 (number)

984 is an even 3-digits composite number following 983 and preceding 985. In scientific notation, it is written as 9.84 × 10^2. The sum of its digits is 21. It has a total of 5 prime factors and 16 positive divisors. There are 320 positive integers (up to 984) that are relatively prime to 984.

Interesting facts

984 has 16 divisors, whose sum is 2520
The reverse of 984 is 489
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 21
Digital Root 3

Name

Name	nine hundred eighty-four

Notation

Scientific notation	9.84 × 10^2
Engineering notation	9.84 × 10^0

Prime Factorization of 984

Prime Factorization 2 × 2 × 2 × 3 × 41

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	246	Product of the distinct prime numbers

The prime factorization of 984 is 2 × 2 × 2 × 3 × 41. Since it has a total of 5 prime factors.

Most popular turbo-numbers

5, 7, 54, 16, 552, 690, 3901, 9192, 33872, 8237, 851069, 796355, 9659474, 4911326, 7873678, 16692264, 128537181, 93043056, 5578830494, 2401653166

Basic calculations (n = 984)

Multiplication

n×y

n×2	1968
n×3	2952
n×4	3936
n×5	4920

Division

n÷y

n÷2	492
n÷3	328
n÷3	246
n÷5	196.8

Exponentiation

n^y

n²	968256
n³	952763904
n⁴	937519681536
n⁵	922519366631424

Nth Root

^y√n

²√n	31.368774282716
³√n	9.9463796665372
⁴√n	5.6007833633088
⁵√n	3.9682499521438

Divisors of 984

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-983	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 984 can be divided by 16 positive divisors. The sum of these divisors (counting 984) is 1, the average is 0.0625.

Base conversion 984

Base	System	Value
2	Binary	1111011000
3	Ternary	1100110
4	Quaternary	33120
5	Quinary	12414
6	Senary	4320
8	Octal	1730
10	Decimal	984
12	Duodecimal	6a0
16	Hexadecimal	3d8
20	Vigesimal	294
36	Base36	rc

Cryptographic Hash Functions

md5	d93ed5b6db83be78efb0d05ae420158e
sha1	388e77e8949de491d4cc79ff92ad3b0a4ba7831b
sha256	72805ff7c0f210f3aa6e66f3f208974437611c64a2393f4e7edfef47d8e140a7
sha512	8ee6327c85c07b68406466667f59f2d5781502074c5bb5c09c6aaa56d04970d579d66c66de1a08550313804f65bcf2aa78f7daa90c48befc324a667473bcdbd1
ripemd-160	c4b028807ec36405791c4b607fea163758f0a38c

984 as geometric shapes

Circle

Radius = n

Diameter	1968
Circumference	6182.6543422647
Area	3041865.9363942

Sphere

Radius = n

Volume	3990928108.5492
Surface area	12167463.745577
Circumference	6182.6543422647

Square

Length = n

Perimeter	3936
Area	968256
Diagonal	1391.5861453751

Cube

Length = n

Surface area	5809536
Volume	952763904
Space diagonal	1704.3379946478

Equilateral Triangle

Length = n

Perimeter	2952
Area	419267.14668335
Altitude	852.16899732389

Triangular Pyramid

Length = n

Surface area	419267.14668335
Volume	112284302.89803
Height	463.86204845838