28,200,096

2⁵ × 3³ × 127 × 257

28,200,096 factors as 2^5 × 3^3 × 127 × 257. Its 96 positive divisors give a proper-divisor sum of 55,020,384, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 127 × 257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 83,220,480

Proper Divisor Sum 55,020,384

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #28200071 ← → #28200097

Radix Representation

Decimal	28200096
Binary	1101011100100110010100000 (25 bits)
Octal	0o153446240
Hexadecimal	0x1AE4CA0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 257 288 381 432 508 514 762 771 864 1,016 1,028 1,143 1,524 1,542 2,032 2,056 2,286 2,313 3,048 3,084 3,429 4,064 4,112 4,572 4,626 6,096 6,168 6,858 6,939 8,224 9,144 9,252 12,192 12,336 13,716 13,878 18,288

Collatz Trajectory (162 steps to reach 1)

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

28,200,096 14,100,048 7,050,024 3,525,012 1,762,506 881,253 2,643,760 1,321,880 660,940 330,470 165,235 495,706 247,853 743,560 371,780 185,890 92,945 278,836 139,418 69,709 209,128 104,564 52,282 26,141 78,424 39,212 19,606 9,803 29,410 14,705 44,116 22,058 11,029 33,088 16,544 8,272 4,136 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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