Properties of the Number 85196

Eighty-Five Thousand One Hundred Ninety-Six

Basics

Value: 85195 → 85196 → 85197

Parity: even

Prime: No

Previous Prime: 85193

Next Prime: 85199

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 19 ² × 59

Divisors: 1, 2, 4, 19, 38, 59, 76, 118, 236, 361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

9108 Try Today's Challenge

Representations

Binary: 10100110011001100

Octal: 246314

Duodecimal: 41378

Hexadecimal: 14ccc

Square: 7258358416

Square Root: 291.8835384190071

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+3)X(k+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230949

T(n,k)=Number of (n+3)X(k+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A231023

Number of (n+3)X(3+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230944

Nearest integer to the n-th root of e leading to a generalized closed form for ζ(s). A108925

Number of (n+3)X(4+3) 0..3 white square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A230945

Number of (n+3)X(4+3) 0..3 black square subarrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero. A231021

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n*(n-1) * Integral 1/A(x) dx ) / A(x), for n > 0. A304861

Difference of row 1 and column 1 of the array A085201. A85196

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically. A254355

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254587