Properties of the Number 17380

Seventeen Thousand Three Hundred Eighty

Basics

Value: 17379 → 17380 → 17381

Parity: even

Prime: No

Previous Prime: 17377

Next Prime: 17383

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 11 × 79

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001111100100

Octal: 41744

Duodecimal: A084

Hexadecimal: 43e4

Square: 302064400

Square Root: 131.83322798141597

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

Triangle read by rows: T(n,m) (n >= m >= 1) = number of chambers (or regions) formed by drawing the line segments connecting any two of the (n+1) X (m+1) lattice points in an n X m lattice polygon. A288187

Total area of the shadows of the three views of a three-dimensional version of the shell model of partitions with n shells. A207380

Number of degree-n odd permutations of order 2. A1465

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1+2*(k-4)*x+((k+4)*x)²) * (1-(k+4)*x+sqrt(1+2*(k-4)*x+((k+4)*x)²)) )). A337464

G.f.: 1/((1-x)*(1-x²))⁵. A38165

T(n,k)=Number of idempotent n X n -k..k matrices of rank n-1. A223450

Expansion of sqrt(2 / ( (1-4·x+36·x²) * (1-6·x+sqrt(1-4·x+36·x²)) )). A337466

Partial sums of fourth powers of Lucas numbers. A5972

Expansion of (5+10·x+x²)/(1-x)¹⁰. A59602

E.g.f. cosh(x+x²/2). A85386