287,385

3 × 5 × 7² × 17 × 23

287,385 factors as 3 × 5 × 7^2 × 17 × 23. Its 48 positive divisors give a proper-divisor sum of 303,591, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 17 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 590,976

Proper Divisor Sum 303,591

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #287383 ← → #287387

Radix Representation

Decimal	287385
Binary	1000110001010011001 (19 bits)
Octal	0o1061231
Hexadecimal	0x46299

Divisor Catalog (48)

1 3 5 7 15 17 21 23 35 49 51 69 85 105 115 119 147 161 245 255 345 357 391 483 595 735 805 833 1,127 1,173 1,785 1,955 2,415 2,499 2,737 3,381 4,165 5,635 5,865 8,211 12,495 13,685 16,905 19,159 41,055 57,477 95,795 287,385

Collatz Trajectory (189 steps to reach 1)

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

287,385 862,156 431,078 215,539 646,618 323,309 969,928 484,964 242,482 121,241 363,724 181,862 90,931 272,794 136,397 409,192 204,596 102,298 51,149 153,448 76,724 38,362 19,181 57,544 28,772 14,386 7,193 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826

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