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856,500

22 × 3 × 53 × 571
Abundant Even Composite

856,500 factors as 2^2 × 3 × 5^3 × 571. Its 48 positive divisors give a proper-divisor sum of 1,641,996, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,498,496
Proper Divisor Sum 1,641,996
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #856487 ← → #856507

Radix Representation

Decimal 856500
Binary 11010001000110110100 (20 bits)
Octal 0o3210664
Hexadecimal 0xD11B4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 571 750 1,142 1,500 1,713 2,284 2,855 3,426 5,710 6,852 8,565 11,420 14,275 17,130 28,550 34,260 42,825 57,100 71,375 85,650 142,750 171,300 214,125 285,500 428,250 856,500

Collatz Trajectory (126 steps to reach 1)

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

856,500 428,250 214,125 642,376 321,188 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316 651,158 325,579 976,738 488,369 1,465,108 732,554 366,277 1,098,832 549,416 274,708 137,354 68,677 206,032 103,016 51,508 25,754 12,877 38,632 19,316 9,658 4,829 14,488 7,244 3,622 1,811 5,434

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