Properties of the Number 76214

Seventy-Six Thousand Two Hundred Fourteen

Basics

Value: 76213 → 76214 → 76215

Parity: even

Prime: No

Previous Prime: 76213

Next Prime: 76231

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 53 × 719

Divisors: 1, 2, 53, 106, 719, 1438, 38107, 76214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010100110110110

Octal: 224666

Duodecimal: 38132

Hexadecimal: 129b6

Square: 5808573796

Square Root: 276.06883199665987

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)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..3 nXk array. A218522

Number of Dyck paths of semilength n avoiding the pattern U⁴ D⁴ U D. A225691

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..3 n X 3 array. A218517

Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..3 4Xn array. A218525

a(n) = binomial(2·n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1. A1700

Central trinomial coefficients: largest coefficient of (1 + x + x²)ⁿ. A2426

Riordan numbers: a(n) = (n-1)*(2·a(n-1) + 3·a(n-2))/(n+1). A5043

Number of restricted hexagonal polyominoes with n cells. A2212

Binomial transform of Catalan numbers. A7317

Number of directed animals of size n (or directed n-ominoes in standard position). A5773