Properties of the Number 92376

Ninety-Two Thousand Three Hundred Seventy-Six

Basics

Value: 92375 → 92376 → 92377

Parity: even

Prime: No

Previous Prime: 92369

Next Prime: 92377

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 1283

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10110100011011000

Octal: 264330

Duodecimal: 45560

Hexadecimal: 168d8

Square: 8533325376

Square Root: 303.93420340593457

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 length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0. A222345

G.f.: ∑_k>=1 x^2·k/(1+x^2·k) * ∏_k>=1 (1+x^k)/(1-x^k). A305122

Number of all polyhedra (tetrahedra of any orientation and octahedra) of any size, formed when intersecting a regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts. A216175

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive steps UDUUDDUUUUDUDDDDUDUD (with U=(1,1), D=(1,-1)); triangle T(n,k), n>=0, 0<=k<=max(0,floor((n-1)/9)), read by rows. A243838

a(n) = binomial(n, [n/2]) - 2. A201686

Number of (n+2) X 1 arrays of occupancy after each element moves up to +-n places including 0. A222346

The O(1) loop model on the square lattice is defined as follows: At every vertex the loop turns to the left or to the right with equal probability, unless the vertex has been visited before, in which case the loop leaves the vertex via the unused edge. Every vertex is visited twice. The probability that a face of the lattice on an n X infinity cylinder is surrounded by four loops is conjectured to be given by a(n)/A_HT(n)², where A_HT(n) is the number of n X n half turn symmetric alternating sign matrices. A92376