Properties of the Number 84727

Eighty-Four Thousand Seven Hundred Twenty-Seven

Basics

Value: 84726 → 84727 → 84728

Parity: odd

Prime: No

Previous Prime: 84719

Next Prime: 84731

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 193 × 439

Divisors: 1, 193, 439, 84727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101011110111

Octal: 245367

Duodecimal: 41047

Hexadecimal: 14af7

Square: 7178664529

Square Root: 291.0790270699694

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 lower triangles of an (n+2k-2)X(n+2k-2) 0..k array with new values introduced in row major order 0..k and no element unequal to more than one horizontal or vertical neighbor. A194778

Numerators of continued fraction convergents to sqrt(321). A41606

Number of 2-dimensional directed compact animals of size n. A6801

Least j > 1 such that j² = (4·n² + 2)*(k²) + (4·n² + 2)*k + 1. A106231

Number of lower triangles of an (n+8) X (n+8) 0..5 array with new values introduced in row major order 0..5 and no element unequal to more than one horizontal or vertical neighbor. A194775

Number of lower triangles of a (2n+3)X(2n+3) 0..n array with new values introduced in row major order 0..n and no element unequal to more than one horizontal or vertical neighbor. A194783

Primes arising in A084726. A84727

Rectangular array read by upward antidiagonals: A(n,k) = 1 + sqrt(k)*((1+sqrt(k))ⁿ - (1-sqrt(k))ⁿ)/2, n,k >= 0. A235803