Properties of the Number 13192

Thirteen Thousand One Hundred Ninety-Two

Basics

Value: 13191 → 13192 → 13193

Parity: even

Prime: No

Previous Prime: 13187

Next Prime: 13217

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 17 × 97

Divisors: 1, 2, 4, 8, 17, 34, 68, 97, 136, 194

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001110001000

Octal: 31610

Duodecimal: 7774

Hexadecimal: 3388

Square: 174028864

Square Root: 114.85643212288984

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

Number of integer partitions of n whose first differences (assuming the last part is zero) are not unimodal. A332284

Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope). A8412

a(n) = ∑_{k=0..floor(3·n/8)} binomial(k,3·n-8·k). A392272

a(n) = n*(n-1)*(n² + 2)/6. A71244

Triangle read by rows: T(n,k) is the number of 2-compositions of n having k columns with an even sum (0<=k<=floor(n/2)). A181327

Infinitary Zumkeller numbers (A335197) whose set of infinitary divisors can be partitioned into two disjoint sets of equal sum in a single way. A335199

a(n) = ∑_{k=0..floor(n/2)} binomial(k+3,4·n-8·k+3). A390040

Numbers k such that k + σ(k) + φ(k) is a square. A116009

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i+1), prime(j+1)) (A204120). A204121

Fill an infinite square array by following a spiral around the origin; in the central cell enter a(0)=1; thereafter, in the n-th cell, enter the sum of the entries of those earlier cells that are in the same row or column as that cell. A334741