Properties of the Number 96288

Ninety-Six Thousand Two Hundred Eighty-Eight

Basics

Value: 96287 → 96288 → 96289

Parity: even

Prime: No

Previous Prime: 96281

Next Prime: 96289

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 17 × 59

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111100000100000

Octal: 274040

Duodecimal: 47880

Hexadecimal: 17820

Square: 9271378944

Square Root: 310.30307765151156

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 having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order. A205609

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order. A205352

Convolution of nonzero pentagonal numbers (A000326) with themselves. A271662

Number of (n+1) X 2 0..3 arrays with no 2 X 2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order. A205347

Number of 6X(n+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order. A205613

Numbers k such that σ(totient(k)) + σ(cototient(k)) = 2k. A37138

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n+1)/3. A48040

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n+2)/3. A48073

Number of nonempty subsets of {1,2,...,n} in which exactly 2/3 of the elements are <= (n+3)/3. A48084

Number of (n+1)X6 0..3 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..3 introduced in row major order. A205351