Math question: The number 1063 is divisible by which prime numbers?

To determine whether a number is divisible by a prime number, we need to divide 1063 by primes less than its square root (rounded down) which is approximately 32. Thus, we check if 1063 is divisible by 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, or 31. By attempting division, we find that 1063 is divisible by none of these prime numbers. Hence, it is not divisible by any prime numbers up to 31, making 1063 a prime number itself.

Math question: What is the sum of all digits in the number 1063 when squared and then divided by the sum of its prime factors, excluding 1?

To find the sum of all digits in 1063 squared, we have 1063^2 = 1129969. The sum of its digits: 1 + 1 + 2 + 9 + 9 + 6 + 9 = 37. The prime factors of 1063 are 13 and 821. Excluding 1, the sum of prime factors is 13 + 821 = 834. Now, dividing the squared sum of digits by the sum of prime factors, we get 37/834 = 0.0444 (rounded to 4 decimal places).

Math question: What is the smallest prime number greater than 1063?

To find the smallest prime number greater than 1063, we start by checking if 1064 is divisible by any prime numbers less than or equal to its square root, which is approximately 32.67. Upon inspection, we find that 1064 is divisible by 2, yielding a quotient of 532. However, prime numbers cannot be even except for 2. Thus, we increment 1064 to 1065 and continue our search. Similarly, 1065 is not divisible by 3, nor 1066 by 2 or 3. Continuing in this manner, we eventually reach the number 1069. By diving 1069 by primes up to its square root (approximately 32.72), we determine that it is not divisible by any smaller prime numbers. Thus, 1069 is the smallest prime number greater than 1063.

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

1063 (number)

1063 is an odd 4-digits prime number following 1062 and preceding 1064. In scientific notation, it is written as 1.063 × 10^3. The sum of its digits is 10. It has a total of 1 prime factors and 2 positive divisors. There are 1062 positive integers (up to 1063) that are relatively prime to 1063.

Interesting facts

1063 has 2 divisors, whose sum is 1064
The reverse of 1063 is 3601
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 4
Sum of Digits 10
Digital Root 1

Name

Name	one thousand sixty-three

Notation

Scientific notation	1.063 × 10^3
Engineering notation	1.063 × 10^3

Prime Factorization of 1063

Prime Factorization 1063

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	1063	Product of the distinct prime numbers

The prime factorization of 1063 is 1063. Since it has a total of 1 prime factors.

Most popular turbo-numbers

8, 5, 74, 12, 816, 693, 1569, 6173, 4816, 73255, 436382, 686430, 4329760, 3005200, 90795439, 58954609, 761990383, 946157654, 5768249100, 6179003301

Basic calculations (n = 1063)

Multiplication

n×y

n×2	2126
n×3	3189
n×4	4252
n×5	5315

Division

n÷y

n÷2	531.5
n÷3	354.33333333333
n÷3	265.75
n÷5	212.6

Exponentiation

n^y

n²	1129969
n³	1201157047
n⁴	1276829940961
n⁵	1357270227241543

Nth Root

^y√n

²√n	32.603680773802
³√n	10.205738152836
⁴√n	5.7099632900573
⁵√n	4.0300149098581

Divisors of 1063

1, 1063

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	1064	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	532	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	32.6190128606	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9981203007519	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1063 can be divided by 2 positive divisors. The sum of these divisors (counting 1063) is 1064, the average is 532.

Base conversion 1063

Base	System	Value
2	Binary	10000100111
3	Ternary	1110101
4	Quaternary	100213
5	Quinary	13223
6	Senary	4531
8	Octal	2047
10	Decimal	1063
12	Duodecimal	747
16	Hexadecimal	427
20	Vigesimal	2d3
36	Base36	tj

Cryptographic Hash Functions

md5	6c340f25839e6acdc73414517203f5f0
sha1	578d9283ca503d77b707716d16f3ae71036236d2
sha256	0fe39b99b379952df916ed88c169ec63757291bf0c3db2881a4e0e9bf84b1463
sha512	6bd95288e49d217123708530b021abdbc8111fff7ed8c4c97f2800b02bfd96ab4da7dab0a9dfacb8799ab5720ea99133dc4b1b96783afd6d02db147b21fa9615
ripemd-160	2eac2d6ac71d8c9e8265d8ad4ee2b79c3333f3d4

1063 as geometric shapes

Circle

Radius = n

Diameter	2126
Circumference	6679.0259815319
Area	3549902.3091842

Sphere

Radius = n

Volume	5031394872.8837
Surface area	14199609.236737
Circumference	6679.0259815319

Square

Length = n

Perimeter	4252
Area	1129969
Diagonal	1503.3090168026

Cube

Length = n

Surface area	6779814
Volume	1201157047
Space diagonal	1841.1700084457

Equilateral Triangle

Length = n

Perimeter	3189
Area	489290.92974445
Altitude	920.58500422286

Triangular Pyramid

Length = n

Surface area	489290.92974445
Volume	141557715.53395
Height	501.10300560087