## 8416

8,416 (eight thousand four hundred sixteen) is an even four-digits composite number following 8415 and preceding 8417. In scientific notation, it is written as 8.416 × 103. The sum of its digits is 19. It has a total of 6 prime factors and 12 positive divisors. There are 4,192 positive integers (up to 8416) that are relatively prime to 8416.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 4
• Sum of Digits 19
• Digital Root 1

## Name

Short name 8 thousand 416 eight thousand four hundred sixteen

## Notation

Scientific notation 8.416 × 103 8.416 × 103

## Prime Factorization of 8416

Prime Factorization 25 × 263

Composite number
Distinct Factors Total Factors Radical ω(n) 2 Total number of distinct prime factors Ω(n) 6 Total number of prime factors rad(n) 526 Product of the distinct prime numbers λ(n) 1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 8,416 is 25 × 263. Since it has a total of 6 prime factors, 8,416 is a composite number.

## Divisors of 8416

1, 2, 4, 8, 16, 32, 263, 526, 1052, 2104, 4208, 8416

12 divisors

 Even divisors 10 2 1 1
Total Divisors Sum of Divisors Aliquot Sum τ(n) 12 Total number of the positive divisors of n σ(n) 16632 Sum of all the positive divisors of n s(n) 8216 Sum of the proper positive divisors of n A(n) 1386 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 91.7388 Returns the nth root of the product of n divisors H(n) 6.07215 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8,416 can be divided by 12 positive divisors (out of which 10 are even, and 2 are odd). The sum of these divisors (counting 8,416) is 16,632, the average is 1,386.

## Other Arithmetic Functions (n = 8416)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 4192 Total number of positive integers not greater than n that are coprime to n λ(n) 2096 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 1058 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 4,192 positive integers (less than 8,416) that are coprime with 8,416. And there are approximately 1,058 prime numbers less than or equal to 8,416.

## Divisibility of 8416

 m n mod m 2 3 4 5 6 7 8 9 0 1 0 1 4 2 0 1

The number 8,416 is divisible by 2, 4 and 8.

## Classification of 8416

• Arithmetic
• Deficient

### Expressible via specific sums

• Polite
• Non-hypotenuse

## Base conversion (8416)

Base System Value
2 Binary 10000011100000
3 Ternary 102112201
4 Quaternary 2003200
5 Quinary 232131
6 Senary 102544
8 Octal 20340
10 Decimal 8416
12 Duodecimal 4a54
20 Vigesimal 110g
36 Base36 6hs

## Basic calculations (n = 8416)

### Multiplication

n×i
 n×2 16832 25248 33664 42080

### Division

ni
 n⁄2 4208 2805.33 2104 1683.2

### Exponentiation

ni
 n2 70829056 596097335296 5016755173851136 42221011543131160576

### Nth Root

i√n
 2√n 91.7388 20.3408 9.57804 6.09567

## 8416 as geometric shapes

### Circle

 Diameter 16832 52879.3 2.22516e+08

### Sphere

 Volume 2.49693e+12 8.90064e+08 52879.3

### Square

Length = n
 Perimeter 33664 7.08291e+07 11902

### Cube

Length = n
 Surface area 4.24974e+08 5.96097e+11 14576.9

### Equilateral Triangle

Length = n
 Perimeter 25248 3.06699e+07 7288.47

### Triangular Pyramid

Length = n
 Surface area 1.2268e+08 7.02507e+10 6871.64

## Cryptographic Hash Functions

md5 b93e78c67fd4ae3ee626d8ec0c412dec e9b33dadebf1b341207867d900986f09a01b83ce 34d17aedc8e1ed28292747400a400a60835f6868895becd9d7a6be30885a0295 01cb2dac16188715c4ce42606ff4ae435a93b7dc1b695ddd1a30afe216bce399523ef42aecff556cddf92e200f3eb0bfebd2ae7b6521b0b5495fd11d7f9f5c04 f404fc1d44202906742039f21ca3a5cc52a279b0
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