Properties of the Number 16613

Sixteen Thousand Six Hundred Thirteen

Basics

Value: 16612 → 16613 → 16614

Parity: odd

Prime: No

Previous Prime: 16607

Next Prime: 16619

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 37 × 449

Divisors: 1, 37, 449, 16613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000011100101

Octal: 40345

Duodecimal: 9745

Hexadecimal: 40e5

Square: 275991769

Square Root: 128.89142717807107

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

Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75252

a(n) = a(n-1) + a(floor(n/2)) + a(ceiling(n/2)). A131205

Number of typable λ terms of size n with size 0 for the variables. A236393

Number of partitions p of n such that max(p)-min(p) = 7. A218570

Solution (a(n)) of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-2); see Comments. A305329

a(n) = ∑_{k=0..floor(n/3)} 2^k * binomial(2·n-4·k+1,2·k+1). A387628

Number of multisets {1^k1, 2^k2, ..., n^kn}, ki >= 0, with the sum of reciprocals <= 1. A212658

Expansion of f(-x⁸)² / f(-x) in powers of·where f() is a Ramanujan θ function. A260164

Numerators of the partial alternating sums of the reciprocals of the sum of divisors function (A000203). A357845

Multiplicity of highest weight (or singular) vectors associated with character chi₇₉ of Monster module. A34467