8,111,980

2² × 5 × 405599

Starting at 8,111,980, the Collatz iteration reaches 1 after 85 steps. The first transition is 4055990; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 405599

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,035,200

Proper Divisor Sum 8,923,220

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8111977 ← → #8111981

Radix Representation

Decimal	8111980
Binary	11110111100011101101100 (23 bits)
Octal	0o36743554
Hexadecimal	0x7BC76C

Divisor Catalog (12)

1 2 4 5 10 20 405,599 811,198 1,622,396 2,027,995 4,055,990 8,111,980

Collatz Trajectory (85 steps to reach 1)

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

8,111,980 4,055,990 2,027,995 6,083,986 3,041,993 9,125,980 4,562,990 2,281,495 6,844,486 3,422,243 10,266,730 5,133,365 15,400,096 7,700,048 3,850,024 1,925,012 962,506 481,253 1,443,760 721,880 360,940 180,470 90,235 270,706 135,353 406,060 203,030 101,515 304,546 152,273 456,820 228,410 114,205 342,616 171,308 85,654 42,827 128,482 64,241 192,724 96,362 48,181 144,544 72,272 36,136 18,068 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

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