33,363

3² × 11 × 337

33,363 factors as 3^2 × 11 × 337. Its 12 positive divisors give a proper-divisor sum of 19,365, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 52,728

Proper Divisor Sum 19,365

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #33359 ← → #33377

Radix Representation

Decimal	33363
Binary	1000001001010011 (16 bits)
Octal	0o101123
Hexadecimal	0x8253

Divisor Catalog (12)

1 3 9 11 33 99 337 1,011 3,033 3,707 11,121 33,363

Collatz Trajectory (116 steps to reach 1)

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

33,363 100,090 50,045 150,136 75,068 37,534 18,767 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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