Properties of the Number 16915

Sixteen Thousand Nine Hundred Fifteen

Basics

Value: 16914 → 16915 → 16916

Parity: odd

Prime: No

Previous Prime: 16903

Next Prime: 16921

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 17 × 199

Divisors: 1, 5, 17, 85, 199, 995, 3383, 16915

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000010011

Octal: 41023

Duodecimal: 9957

Hexadecimal: 4213

Square: 286117225

Square Root: 130.05767951182276

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

Indices of primes followed by a gap (distance to next larger prime) of 44. A320720

Number of 4-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-bishop's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187608

a(n) = Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; initial terms are 1,1,4. A49867

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 1), (0, 1, -1), (1, 0, 0)}. A148712

Denominators of fractions with nontrivial anomalous cancellation, listed with multiplicity if multiple numerators are possible. A291094

Squares visited by a knight moving on a square-spiral numbered board where the knight moves to an unvisited square with the lowest spiral number and with six or fewer visited neighbors. It only moves to squares with seven or more visited neighbors when no other square is available; if two or more such squares are present it chooses the square with the fewest neighbors, then the square with the lowest spiral number if still tied. A329519

a(n) = (6·n)⁷. A16915

Number of connected ordered 5-element antichains on an unlabeled n-set. A92617

a(n) begins the first chain of 9 consecutive positive integers of h-values with symmetrical gaps about the center, where h(k) is the length of the finite sequence k, f(k), f(f(k)), ...., 1 in the Collatz (or 3x + 1) problem. A268288