33,884

2² × 43 × 197

33,884 is even and not a perfect square. Its factorization is 2^2 × 43 × 197 and its 12 divisors sum to 60,984.

Prime Factor Structure

Factorization String 2^2 × 43 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 60,984

Proper Divisor Sum 27,100

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #33871 ← → #33889

Radix Representation

Decimal	33884
Binary	1000010001011100 (16 bits)
Octal	0o102134
Hexadecimal	0x845C

Divisor Catalog (12)

1 2 4 43 86 172 197 394 788 8,471 16,942 33,884

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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