Properties of the Number 7100

Seven Thousand One Hundred

Basics

Value: 7099 → 7100 → 7101

Parity: even

Prime: No

Previous Prime: 7079

Next Prime: 7103

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 ² × 71

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 71, 100

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101110111100

Octal: 15674

Duodecimal: 4138

Hexadecimal: 1bbc

Square: 50410000

Square Root: 84.26149773176358

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

Coordination sequence for hexagonal close-packing. A7899

Number of integer partitions of n without all distinct multiplicities. A336866

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

Scaled Chebyshev U-polynomials evaluated at sqrt(10)/2. A57086

Square number array read by antidiagonals. A84061

E.g.f. satisfies: A(x) = (1 + x·A(x))^A(x). A162655

T(n,k)=Number of nXk 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to zero or two horizontal or vertical neighbors. A199246

Number of ways to place 6 non-attacking wazirs on an n X n toroidal board. A201240

"DHK[ 8 ]" (bracelet, identity, unlabeled, 8 parts) transform of 1,1,1,1,... A32249

Numbers n such that ((n-1)²+1)/2 and n²+1 and ((n+1)²+1)/2 are prime if n is even or (n-1)²+1 and (n²+1)/2 and (n+1)²+1 are prime if n is odd. A82612