8,097,836

2² × 487 × 4157

Starting at 8,097,836, the Collatz iteration reaches 1 after 186 steps. The first transition is 4048918; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 487 × 4157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,203,728

Proper Divisor Sum 6,105,892

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8097833 ← → #8097839

Radix Representation

Decimal	8097836
Binary	11110111001000000101100 (23 bits)
Octal	0o36710054
Hexadecimal	0x7B902C

Divisor Catalog (12)

1 2 4 487 974 1,948 4,157 8,314 16,628 2,024,459 4,048,918 8,097,836

Collatz Trajectory (186 steps to reach 1)

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

8,097,836 4,048,918 2,024,459 6,073,378 3,036,689 9,110,068 4,555,034 2,277,517 6,832,552 3,416,276 1,708,138 854,069 2,562,208 1,281,104 640,552 320,276 160,138 80,069 240,208 120,104 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566

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