8,771,500

2² × 5³ × 53 × 331

Starting at 8,771,500, the Collatz iteration reaches 1 after 318 steps. The first transition is 4385750; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 53 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,577,376

Proper Divisor Sum 10,805,876

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8771491 ← → #8771501

Radix Representation

Decimal	8771500
Binary	100001011101011110101100 (24 bits)
Octal	0o41353654
Hexadecimal	0x85D7AC

Divisor Catalog (48)

1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 331 500 530 662 1,060 1,324 1,325 1,655 2,650 3,310 5,300 6,620 6,625 8,275 13,250 16,550 17,543 26,500 33,100 35,086 41,375 70,172 82,750 87,715 165,500 175,430 350,860 438,575 877,150 1,754,300 2,192,875 4,385,750 8,771,500

Collatz Trajectory (318 steps to reach 1)

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

8,771,500 4,385,750 2,192,875 6,578,626 3,289,313 9,867,940 4,933,970 2,466,985 7,400,956 3,700,478 1,850,239 5,550,718 2,775,359 8,326,078 4,163,039 12,489,118 6,244,559 18,733,678 9,366,839 28,100,518 14,050,259 42,150,778 21,075,389 63,226,168 31,613,084 15,806,542 7,903,271 23,709,814 11,854,907 35,564,722 17,782,361 53,347,084 26,673,542 13,336,771 40,010,314 20,005,157 60,015,472 30,007,736 15,003,868 7,501,934 3,750,967 11,252,902 5,626,451 16,879,354 8,439,677 25,319,032 12,659,516 6,329,758 3,164,879 9,494,638 4,747,319 14,241,958 7,120,979 21,362,938 10,681,469 32,044,408 16,022,204 8,011,102 4,005,551 12,016,654

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