33,805

5 × 6761

For 33,805, the 4 positive divisors have a total of 40,572. Removing 33,805 leaves 6,767, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 6761

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 40,572

Proper Divisor Sum 6,767

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #33797 ← → #33809

Radix Representation

Decimal	33805
Binary	1000010000001101 (16 bits)
Octal	0o102015
Hexadecimal	0x840D

Divisor Catalog (4)

1 5 6,761 33,805

Collatz Trajectory (59 steps to reach 1)

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

33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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