Properties of the Number 82720

Eighty-Two Thousand Seven Hundred Twenty

Basics

Value: 82719 → 82720 → 82721

Parity: even

Prime: No

Previous Prime: 82699

Next Prime: 82721

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 5 × 11 × 47

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100001100100000

Octal: 241440

Duodecimal: 3BA54

Hexadecimal: 14320

Square: 6842598400

Square Root: 287.6108481959608

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

Numbers k such that k+1, k+3, k+7 and k+9 are all primes. A125855

Numbers that have exactly 7 representations as a k-gonal number, P(m,k) = m*((k-2)*m - (k-4))/2, k and m >= 3. A321157

Number of 2n-step self-avoiding closed paths on the 5-dimensional cubic lattice. A10569

Low-temperature magnetization expansion for square lattice (Potts model, q=4). A57378

Number of length-4 0..n arrays with no repeated value differing from the previous repeated value by other than one. A269538

G.f. satisfies A(x) = ( 1 + x·A(x)^3/2 * (1 + A(x)) )². A371679

Digit lengths for which there exist plateau or depression primes of the general form r*(10^m-1)/9 +- s*(10^m-1+1). A82720