Properties of the Number 17872

Seventeen Thousand Eight Hundred Seventy-Two

Basics

Value: 17871 → 17872 → 17873

Parity: even

Prime: No

Previous Prime: 17863

Next Prime: 17881

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1117

Divisors: 1, 2, 4, 8, 16, 1117, 2234, 4468, 8936, 17872

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111010000

Octal: 42720

Duodecimal: A414

Hexadecimal: 45d0

Square: 319408384

Square Root: 133.68619973654722

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 where T(n,k) is the number of unlabeled connected multigraphs with loops with n edges and k vertices. A322115

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. A275142

Structured hexagonal diamond numbers (vertex structure 5). A100178

Numbers k such that k concatenated with k+8 gives the product of two numbers which differ by 9. A116216

The number of idempotents in the Brauer monoid on [1..n]. A227545

Number of edges formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355948

Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k. A391581

Number of n X 2 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero. A230393

Number of orbits of size n in vertex graph of Lucas cube Lambda_n. A250114

Partial sums of ceiling(Fibonacci(n)/11). A179053