284,800

2⁷ × 5² × 89

For 284,800, the 48 positive divisors have a total of 711,450. Removing 284,800 leaves 426,650, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 5^2 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 711,450

Proper Divisor Sum 426,650

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #284783 ← → #284803

Radix Representation

Decimal	284800
Binary	1000101100010000000 (19 bits)
Octal	0o1054200
Hexadecimal	0x45880

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 128 160 178 200 320 356 400 445 640 712 800 890 1,424 1,600 1,780 2,225 2,848 3,200 3,560 4,450 5,696 7,120 8,900 11,392 14,240 17,800 28,480 35,600 56,960 71,200 142,400 284,800

Collatz Trajectory (145 steps to reach 1)

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

284,800 142,400 71,200 35,600 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310

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