Properties of the Number 7210

Seven Thousand Two Hundred Ten

Basics

Value: 7209 → 7210 → 7211

Parity: even

Prime: No

Previous Prime: 7207

Next Prime: 7211

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 7 × 103

Divisors: 1, 2, 5, 7, 10, 14, 35, 70, 103, 206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000101010

Octal: 16052

Duodecimal: 420A

Hexadecimal: 1c2a

Square: 51984100

Square Root: 84.91171886141512

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

Number of reduced words of length n in the Weyl group D₇. A162210

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3). A24312

21-gonal numbers: a(n) = n*(19n - 17)/2. A51873

Twice octagonal numbers: 2·n*(3·n-2). A139267

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically. A207752

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 0 1 and 1 0 1 vertically. A209650

Matrix 5th power of Stirling2 triangle A008277. A39813

Number of n-step self-avoiding walks on 5-d cubic lattice. A10576

Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right. A177787