Properties of the Number 33728

Thirty-Three Thousand Seven Hundred Twenty-Eight

Basics

Value: 33727 → 33728 → 33729

Parity: even

Prime: No

Previous Prime: 33721

Next Prime: 33739

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁶ × 17 × 31

Divisors: 1, 2, 4, 8, 16, 17, 31, 32, 34, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001111000000

Octal: 101700

Duodecimal: 17628

Hexadecimal: 83c0

Square: 1137577984

Square Root: 183.65184453198395

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

Total number of prime parts in all partitions of n. A37032

Number of partitions p of n not including round(mean(p)) as a part. (This is "Mathematica round"; for round(x) defined as floor(x + 1/2), see A241734.) A241339

Schoenheim bound L₁(n,6,5). A36833

Expansion of 1/(1 - 4·x/(1-x))^3/2. A377197

Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial transform. Same as interpolating the β numbers 1/β(n,n) (A002457) with (A163869). Triangle read by rows, for n >= 0, k >= 0. A163842

Expansion of sqrt((1-x) / (1-5·x)⁵). A387228

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 σ(n)*xⁿ, where σ = A000203. A353924

C(n-3,3)+C(n-7,7)+...+C(n-(4·floor((n-4)/4)+3),4·floor((n-4)/4)+3). A101552

Number of partitions p of n such that round(mean(p)) is not a part of p; here, round(x) means floor(x + 1/2). A241734

Total number of inversions in all compositions of n into distinct parts. A271372