Properties of the Number 80296

Eighty Thousand Two Hundred Ninety-Six

Basics

Value: 80295 → 80296 → 80297

Parity: even

Prime: No

Previous Prime: 80287

Next Prime: 80309

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 10037

Divisors: 1, 2, 4, 8, 10037, 20074, 40148, 80296

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011100110101000

Octal: 234650

Duodecimal: 3A574

Hexadecimal: 139a8

Square: 6447447616

Square Root: 283.365488371467

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 (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7. A251381

Number of line segments connecting exactly 3 points in an n X n grid of points. A177719

Consecutive states of the linear congruential pseudo-random number generator (31481·s+21139) mod 10⁵ when started at s=1. A384341

Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock summing to 5 6 or 7. A251374

Number of (n+1)X(4+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7. A251377

Expansion of ∑_{p prime, i>=1} x^pⁱ / (1 - ∑_{p prime, j>=1} x^{p^j})². A281852

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229578

a(n) = ∑_k=0..n binomial(2·n-2·k,n-k)² * binomial(n,k)². A36916

a(n) = (n!/2)*∑_k=1..n (n+k)!/(k!)³. A73014

a(n) = A080301(A080293(n)). A80296