Properties of the Number 55196

Fifty-Five Thousand One Hundred Ninety-Six

Basics

Value: 55195 → 55196 → 55197

Parity: even

Prime: No

Previous Prime: 55171

Next Prime: 55201

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 13799

Divisors: 1, 2, 4, 13799, 27598, 55196

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101011110011100

Octal: 153634

Duodecimal: 27B38

Hexadecimal: d79c

Square: 3046598416

Square Root: 234.93828976988829

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+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254775

Triangle of polynomial coefficients related to the o.g.f.s of the RES1 polynomials. A160468

T(n,k) = count of degree k monomials in the complete homogeneous symmetric polynomials h(μ,k) summed over all partitions μ of n. A209666

Number of partitions of n where each part i is marked with a word of length i over a quaternary alphabet whose letters appear in alphabetical order. A261738

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254769

Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and the central column and the two medians of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254777

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0), (1, 1, 1)}. A150802

Number A(n,k) of partitions of n where each part i is marked with a word of length i over a k-ary alphabet whose letters appear in alphabetical order; square array A(n,k), n>=0, k>=0, read by antidiagonals. A261718

Primitive numbers k that divide σ(k)*φ(k). A55196