Properties of the Number 84196

Eighty-Four Thousand One Hundred Ninety-Six

Basics

Value: 84195 → 84196 → 84197

Parity: even

Prime: No

Previous Prime: 84191

Next Prime: 84199

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 31 × 97

Divisors: 1, 2, 4, 7, 14, 28, 31, 62, 97, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100100011100100

Octal: 244344

Duodecimal: 40884

Hexadecimal: 148e4

Square: 7088966416

Square Root: 290.16547003391014

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..1 nXk array. A220328

Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4·T(n-1, k-1) + 2·T(n-1, k). A119726

T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223149

Sum of divisors of n and product of divisors of n are both perfect cubes. A244428

Let·be the sum of the divisors d_i of k such that d_i | σ(k). Sequence lists the numbers k for which x³ = σ(k). A284284

Equals two maps: number of n X 3 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..1 n X 3 array. A220324

Number of nX4 0..2 arrays with no more than floor(nX4/2) elements equal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223146

Equals two maps: number of 7Xn binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..1 7Xn array. A220334

Wiener index of the n X n fiveleaper graph. A292040

Number of primes q<prime(n) such that q+1 divides prime(n)+1. A84196