333,285

3 × 5 × 17 × 1307

333,285 factors as 3 × 5 × 17 × 1307. Its 16 positive divisors give a proper-divisor sum of 231,771, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 565,056

Proper Divisor Sum 231,771

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #333283 ← → #333287

Radix Representation

Decimal	333285
Binary	1010001010111100101 (19 bits)
Octal	0o1212745
Hexadecimal	0x515E5

Divisor Catalog (16)

1 3 5 15 17 51 85 255 1,307 3,921 6,535 19,605 22,219 66,657 111,095 333,285

Collatz Trajectory (184 steps to reach 1)

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

333,285 999,856 499,928 249,964 124,982 62,491 187,474 93,737 281,212 140,606 70,303 210,910 105,455 316,366 158,183 474,550 237,275 711,826 355,913 1,067,740 533,870 266,935 800,806 400,403 1,201,210 600,605 1,801,816 900,908 450,454 225,227 675,682 337,841 1,013,524 506,762 253,381 760,144 380,072 190,036 95,018 47,509 142,528 71,264 35,632 17,816 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353

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