8,200,503

3² × 911167

Starting at 8,200,503, the Collatz iteration reaches 1 after 186 steps. The first transition is 24601510; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 911167

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,845,184

Proper Divisor Sum 3,644,681

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8200463 ← → #8200529

Radix Representation

Decimal	8200503
Binary	11111010010000100110111 (23 bits)
Octal	0o37220467
Hexadecimal	0x7D2137

Divisor Catalog (6)

1 3 9 911,167 2,733,501 8,200,503

Collatz Trajectory (186 steps to reach 1)

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

8,200,503 24,601,510 12,300,755 36,902,266 18,451,133 55,353,400 27,676,700 13,838,350 6,919,175 20,757,526 10,378,763 31,136,290 15,568,145 46,704,436 23,352,218 11,676,109 35,028,328 17,514,164 8,757,082 4,378,541 13,135,624 6,567,812 3,283,906 1,641,953 4,925,860 2,462,930 1,231,465 3,694,396 1,847,198 923,599 2,770,798 1,385,399 4,156,198 2,078,099 6,234,298 3,117,149 9,351,448 4,675,724 2,337,862 1,168,931 3,506,794 1,753,397 5,260,192 2,630,096 1,315,048 657,524 328,762 164,381 493,144 246,572 123,286 61,643 184,930 92,465 277,396 138,698 69,349 208,048 104,024 52,012

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