855,600

2⁴ × 3 × 5² × 23 × 31

For 855,600, the 120 positive divisors have a total of 2,952,192. Removing 855,600 leaves 2,096,592, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,952,192

Proper Divisor Sum 2,096,592

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #855581 ← → #855601

Radix Representation

Decimal	855600
Binary	11010000111000110000 (20 bits)
Octal	0o3207060
Hexadecimal	0xD0E30

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 31 40 46 48 50 60 62 69 75 80 92 93 100 115 120 124 138 150 155 184 186 200 230 240 248 276 300 310 345 368 372 400 460 465 496 552 575 600 620 690 713 744 775 920

Collatz Trajectory (144 steps to reach 1)

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

855,600 427,800 213,900 106,950 53,475 160,426 80,213 240,640 120,320 60,160 30,080 15,040 7,520 3,760 1,880 940 470 235 706 353 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 91 274 137 412 206 103 310 155

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