Properties of the Number 16749

Sixteen Thousand Seven Hundred Forty-Nine

Basics

Value: 16748 → 16749 → 16750

Parity: odd

Prime: No

Previous Prime: 16747

Next Prime: 16759

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1861

Divisors: 1, 3, 9, 1861, 5583, 16749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000101101101

Octal: 40555

Duodecimal: 9839

Hexadecimal: 416d

Square: 280529001

Square Root: 129.41792766073794

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 giving T(n,k) = number of inequivalent indecomposable linear [ n,k ] binary codes without 0 columns (n >= 2, 1 <= k <= n). A34254

Positions of 3's in A234323. A234804

a(n) = n⁵ + 4·n⁴ + 13·n³ + 23·n² + 25·n + 3. A270869

Number of sets of nonempty words with a total of n letters over senary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293745

Number of indecomposable binary [ n,6 ] codes without 0 columns. A34353

Number of indecomposable binary [ n,7 ] codes without 0 columns. A34354

Years >= 1801 in which Christmas falls in Sukkot. A222419

Poincaré series for hyperbolic reflection group with Coxeter diagram shown in Comments. A265050

Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A304851

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A001950 (upper Wythoff sequence). A24475